Krzysztof Galicki, Publications

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Krzysztof Galicki

Note: If you want a copy of a preprint try to select it in one of the three provided formats (dvi, postscript, or pdf). Even though each preprint on this page is intended to be in its most up-to-date version be aware that this may still differ from the article's published form. The latter, in some cases, may also be available in an electronic format (usually only to registered subscribers) and, where appropriate, I point you to the correct URL. If all fails or you would simply like an "old-fashion" reprint of one or more of my published papers, please send an e-mail to galicki@math.unm.edu. If your institution has access to the MathSciSerch you can also see a review of each individual paper.

Preprints

Constructions in Sasakian Geometry , with Charles P. Boyer and Liviu Ornea; submitted to the Mathematische Zeitschrift.
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Highly connected manifolds with positive Ricci curvature , with Charles P. Boyer submitted to the Geometry and Topology.
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Articles in Print

Einstein metrics on rational homology spheres , with Charles P. Boyer, Journal of Differential Geometry, to appear.
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On Eta-Einstein Sasakian Geometry , with Charles P. Boyer, and Paola Matzeu, Communications in Mathematical Physics (2006); to appear.
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Einstein metrics on spheres , with Charles P. Boyer, and János Kollár, Annals of Mathematics (2) 162 (2005), 1-24.
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Sasakian Geometry, Hypersurface Singularities, and Einstein Metrics , with Charles P. Boyer, Rendiconti del Circolo Matematico di Palermo (2), Suppl. 65 (2005); to appear.
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Einstein metrics on exotic spheres in dimensions 7, 11, and 15 , with Charles P. Boyer, János Kollár, and Evan Thomas, Experimental Mathematics 14 (2005); 61-66.
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- This article uses two different C codes: candidates.c and sig.c. To see or download the codes as well as supporting data files click C Codes and Data Files
Toric self-dual Einstein metrics as quotients , with Charles P. Boyer, David M. J. Calderbank, and Paolo Piccinni, Communications in Mathematical Physics 253 (2005); 337-370.
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On Positive Sasakian Geometry , with Charles P. Boyer and Michael Nakamaye, Geometriae Dedicata 101 (2003); 93-102.
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New Einstein Metrics on 8#(S(2)xS(3)) , with Charles P. Boyer, Differential Geometry and Its Applications 19 (2003), 245-251.
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On the Sasakian-Einstein Geometry of 5-Manifolds, with Charles P. Boyer and Michael Nakamaye, Mathematische Annalen 325 (2003), 485-524.
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- This article uses a modification of a C code originally written by Jennifer Johnson and Janós Kollár. The original codes can be found at Jennifer Johnson's web page. To see our modified code click here. .
- Springer-Verlag is the copyright holder for the published version of this article. The original publication is available on LINK at http://springer.de. Go to Mathematische Annalen to see all volumes available online or specifically to Volume 253 to get the published version in an electronic format (only for registered subscribers).
- For a review of this paper in Mathematical Reviewsclick here.
Sasakian Geometry, Homotopy Spheres, and Positive Ricci Curvature , with Charles P. Boyer and Michael Nakamaye, Topology 42 (2003), 981-1002.
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- Elsevier is the copyright holder for the published version of this article. Go to Topology together with many other journals published by Elsevier Science, is available at the Mathematics Web. They are also vailable at Science@Direct. You can browse table of contents as a guest or view articles if you are a subscriber. Go to Topology to see all volumes available online and get the article (link for registered users).
- For a review of this paper in Mathematical Reviewsclick here.
Rational Homology 5-Spheres with Positive Ricci Curvature , with Charles P. Boyer, Mathematical Research Letters 9 (2002), 521-528.
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- International Press is the copyright holder for the published version of this article. Go to Mathematical Research Letters to see contents of all volumes of the journal (in PDF format).
- For a review of this paper in Mathematical Reviewsclick here.
Einstein Metrics on Rational Homology 7-Spheres , with Charles P. Boyer and Michael Nakamaye, Annales l'Institute Fourier 52 (2002), 1569-1584.
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- You may also visit the e-print archives at xxx to see My Preprints. There you will be able to get this article in your favorite format.
- The first preprint version of this article appeared at the Max-Planck-Institut für Mathematik as MPI-2001-69. You may go to Preprints of the MPI to see it.
- The printed version of this article does not include some of the tabels. The electronic version provided here is complete with tables.
- For a review of this paper in Mathematical Reviewsclick here.
Sasakian-Einstein Structures on 9#(S(2)xS(3)) , with Charles P. Boyer and Michael Nakamaye, Transactions of the American Mathematical Society 354 (2002), 2983-2996.
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- AMS is the copyright holder for the published version of this article. The original publication is available http://www.ams.org. Go to Transactions of the AMS for all volumes available online or specifically to Volume 354, Number 8 to see contents of this volume of the journal and to get the published version in an electronic format (only for registered subscribers).
- For a review of this paper in Mathematical Reviewsclick here.
3-Sasakian Geometry, Nilpotent Orbits, and Exceptional Quotients, with Charles P. Boyer and Paolo Piccinni, Annals of Global Analysis and Geometry 21 (2002), 85-110.
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- You may also visit the e-print archives at xxx to see My Preprints. There you will be able to get this article in your favorite format.
- This article has also been listed as an IHES preprint M/00/51.
- Kluwer is the copyright holder for the published version of this article. The original publication is available http://www.kluweronline.com. Go to Annals of Global Analysis and Geometry to see all issues available online. Volume 21, Issue 1 is free for all users.
- For a review of this paper in Mathematical Reviewsclick here.
New Einstein Metrics in Dimension Five, with Charles P. Boyer, Journal of Differential Geometry 57 (2001), 443-463.
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- International Press is the copyright holder for the published version of this article. The original publication is available http://www.intlpress.com. Go to Journal of Differential Geometry to see all volumes available online or specifically to Volume 57 to get the published version in an electronic format (only for registered subscribers).
- For a review of this paper in Mathematical Reviewsclick here.
Contact Geometry and Einstein Manifolds, with Charles P. Boyer, Proceedings of the American Mathematical Society 129 (2001), 2419-2430.
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- This article has also been listed as an ESI preprint No. 806.
- For a review of this paper in Mathematical Reviewsclick here.
- AMS is the copyright holder for the published version of this article. The original publication is available http://www.ams.org. Go to Proceedings of the AMS for all volumes available online or specifically to Volume 129, Number 8, to see contents of this volume of the journal and to get the published version in an electronic format (only for registered subscribers).
On Sasakian-Einstein Geometry, with Charles P. Boyer; International Journal of Mathematics 11 (2000); 873-909.
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- For a review of this paper in Mathematical Reviewsclick here.
A Note on Toric Contact Geometry, with Charles P. Boyer; Journal of Geometry and Physics 35 (2000); 288-298.
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- The first preprint version of this article appeared at the Max-Planck-Institut für Mathematik as MPI-1999-72. You may go to Preprints of the MPI to see it.
- For a review of this paper in Mathematical Reviewsclick here.
- Elsevier is the copyright holder for the published version of this article. Journal of Geometry and Physics together with many other journals published by Elsevier Science, is available at the Mathematics Web. They are also vailable at Science@Direct. You can browse table of contents as a guest or view articles if you are a subscriber. You can go to Journal of Geometry and Physics to see all volumes available online (at the moment it starts with volume 39).
3-Sasakian Manifolds, with Charles P. Boyer; Surveys in Differential Geometry, Volume VI, Essays on Einstein Manifolds, A supplement to the Journal of Differential Geometry, pp. 123-184, C. LeBrun and M. Wang, Eds., International Press, Cambridge 1999.
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- The first preprint version of this article appeared at the Max-Planck-Institut für Mathematik as MPI-1998-19. You may go to Preprints of the MPI to see it.
- For a review of this paper in Mathematical Reviewsclick here.
- International Press is the copyright holder for the published version of this article. Go to International Press to order the volume. To see all volume contents go to Surveys in Differential Geometry, Volume 6.
Hypercomplex Structures from 3-Sasakian Structures, with Charles P. Boyer, and B.M. Mann, Journal für die reine und angewandte Mathematik 501 (1998), 115-141.
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- The first preprint version of this article appeared at the Max-Planck-Institut für Mathematik as MPI-1997-76. You may go to Preprints of the MPI to see it.
- For a review of this paper in Mathematical Reviewsclick here.
- Walter de Gruyter is the copyright holder for the published version of this article. The original publication is available at http://www.deGruyter.com. Go to Crelle's Journal to see all volumes available online or specifically to Volume 501 to get the published version in an electronic format (only for registered subscribers).
Compact 3-Sasakian 7-Manifolds with Arbitrary Second Betti Number, with Charles P. Boyer, Bemnjamin M. Mann, and E. G. Rees, Inventiones Mathematicae 131 (1998), 321-344.
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- For a review of this paper in Mathematical Reviewsclick here.
- Springer-Verlag is the copyright holder for the published version of this article. The original publication is available on LINK at http://springer.de. Go to Inventiones mathematicae to see all volumes available online or specifically to Volume 131 to get the published version in an electronic format (only for registered subscribers).
A Note on Smooth Toral Reductions of Spheres, with Charles P. Boyer, and Benjamin M. Mann, Manuscripta Mathematica 95 (1998), 149-158.
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- The fist preprint version of this article appeared at the Max-Planck-Institut für Mathematik as MPI-1997-91. You may go to Preprints of the MPI to see it.
- For a review of this paper in Mathematical Reviewsclick here.
- Springer-Verlag is the copyright holder for the published version of this article. The original publication is avalaible on LINK at http://springer.de. Go to manuscripta mathematica to see all volumes available online or specifically to Volume 95 to get the published version in an electronic format (only for registered subscribers).
The Twistor Space of a 3-Sasakian Manifold, with Charles P. Boyer, International Journal of Mathematics 8 (1997), 31-60.
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- For a review of this paper in Mathematical Reviewsclick here.
Positive Einstein Manifolds with Arbitrary Second Betti Number, with Charles P. Boyer, Benjamin M. Mann, and Elmer G. Rees, Balkan Journal of Geometry and Its Applications 1 (1996), 1-8.
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- For a review of this paper in Mathematical Reviewsclick here.
- Balkan Journal of Geometry and Its Applications is publicly available through The Electronic Library of Mathematics of the EMS. Go to Volume 1, No. 2 to see contents of this volume of the journal and to get the published version in an electronic format.
Betti Numbers of 3-Sasakian Manifolds, with Simon Salamon, Geometriae Dedicata 63 (1996), 45-68.
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- The first preprint version of this article appeared at the Erwin Schrödinger International Institute for Mathematical Physics as ESI-213 . You may visit Preprints of the ESI to see the whole list.
- For a review of this paper in Mathematical Reviewsclick here.
On Strongly Inhomogeneous Einstein Manifolds, with Charles P. Boyer, and Benjamin M. Mann, Bulletin of London Mathematical Society 28 (1996), 401-408.
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- The first preprint version of this article appeared at the Erwin Schrödinger International Institute for Mathematical Physics as ESI-154 . You may visit Preprints of the ESI to see the whole list.
- For a review of this paper in Mathematical Reviewsclick here.
Hypercomplex Structures on Stiefel Manifolds, with Charles P. Boyer, and Benjamin M. Mann, Annals of Global Analysis and Geometry 14 (1996), 81-105.
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- For a review of this paper in Mathematical Reviewsclick here.
Quaternionic Geometry and 3-Sasakian Manifolds, with Charles P. Boyer, and Benjamin M. Mann, in the Proceedings of the Meeting on Quaternionic Structures in Mathematics and Physics, SISSA, Trieste, ILAS/FM-6 (1996) 7-24.
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- This article appeared in electronic version in the The Electronic Library of Mathematics of the European Mathematical Society, Conference Proceedings. There you will find the entire proceeding volume of the Quaternionic structures in mathematics and physics, Trieste (1994).
- For a review of this paper in Mathematical Reviewsclick here.
Some New Examples of Compact Inhomogeneous Hypercomplex Manifolds, with Charles P. Boyer, and Benjamin M. Mann, Mathematical Research Letters 1 (1994), 531-538.
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- For a review of this paper in Mathematical Reviewsclick here.
- International Press is the copyright holder for the published version of this article. Go to Mathematical Research Letters to see contents of all volumes of the journal (in PDF format).
New Examples of Inhomogeneous Einstein Manifolds of Positive Scalar Curvature, with Charles P. Boyer, and Benjamin M. Mann, Mathematical Research Letters 1 (1994), 115-121.
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  dvi.file ps.file pdf.file
- The first preprint version of this article appeared at the Erwin Schrödinger International Institute for Mathematical Physics as ESI-154 . You may visit Preprints of the ESI to see the whole list.
- For a review of this paper in Mathematical Reviewsclick here.
- International Press is the copyright holder for the published version of this article. Go to Mathematical Research Letters to see contents of all volumes of the journal (in PDF format).
The Geometry and Topology of 3-Sasakian Manifolds, with Charles P. Boyer and Benjamin M. Mann, Journal für die reine und angewandte Mathematik 455 (1994), 183-220.
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- The first version of this article appeared as a preprint at the Max-Planck-Institute für Mathematik in Bonn. It contained a more detailed exposition of several quotient constructions. There is no electronic version of it in the e-archives of MPI as they do not go back that far. To get this expanded version choose MPI-94-59.dvi, MPI-94-59.ps, or MPI-94-59.pdf.
- For a review of this paper in Mathematical Reviewsclick here.
- Walter de Gruyter is the copyright holder for the published version of this article.
3-Sasakian Manifolds, with Charles P. Boyer, and Benjamin M. Mann, Proceedings of Japan Academy 69 Ser. A (1993) 335-340. See
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- For a review of this paper in Mathematical Reviewsclick here.
Quaternionic Reduction and Einstein Manifolds, with Charles P. Boyer, and Benjamin M. Mann, Cmmunications in Analysis and Geometry 1 (1993), 229-279.
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- For a review of this paper in Mathematical Reviewsclick here.
Geometry of the Scalar Couplings in N=2 Supergravity Models, Classical and Quantum Gravity 9 (1992), 27-40.
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- For a review of this paper in Mathematical Reviewsclick here.
Nonzero Scalar Curvature Generalizations of the ALE Instantons, with T. Nitta, Journal of Mathematical Physics 33 (1992), 1765-1771.
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- For a review of this paper in Mathematical Reviewsclick here.
Duality and Yang-Mills Fields on Quaternionic Kähler manifolds, with Yat Sun Poon, Journal of Mathematical Physics 32 (1991), 1263-1268.
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- For a review of this paper in Mathematical Reviewsclick here.
Multi-centre Metrics with Negative Cosmological Constant, Classical and Quantum Gravity 8 (1991), 1529-1543.
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- For a review of this paper in Mathematical Reviewsclick here.
Quaternionic Reduction and Quaternionic Orbifolds, with Blaine H. Lawson, Jr., Mathematische Annalen 282, (1988), 1-21.
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- For a review of this paper in Mathematical Reviewsclick here.
A Generalization of Momentum Mapping Construction for Quaternionic Kähler Manifolds, Communications in Mathematical Physics 108 (1987), 117-138.
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- For a review of this paper in Mathematical Reviewsclick here.
New Matter Couplings in N=2 Supergravity, Nuclear Physics B289 (1987), 573-588.
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- For a review of this paper in Mathematical Reviewsclick here.
Hyperkähler and Quaternionic Kähler Nonlinear Sigma Models, Nuclear Physics B271 (1986), 402-416.
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- For a review of this paper in Mathematical Reviewsclick here.
CP(n) nonlinear sigma models with holomorphic constraints in d=2,4 dimensions, Physical Reviews D29 (1984), 1809-1818.

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