Krzysztof Galicki, List of Publications>

LIST OF PUBLICATIONS

Krzysztof Galicki


  1. Constructions in Sasakian Geometry, with C. P. Boyer and L. Ornea; Mathematische Zeitschrift (2007); to appear.

  2. Highly Connected Manifolds with Positive Ricci Curvature, with C. P. Boyer; Geometry and Topology 10 (2006); 2219-2235.

  3. Einstein Metrics on Rational Homology Spheres, with C. P. Boyer; Journal of Differential Geometry 74 (2006), 353-362.

  4. On Eta-Einstein Sasakian Geometry, with C. P. Boyer and P. Matzeu; Communications in Mathematical Physics 262 (2006), 177-208.

  5. Sasakian Geometry and Einstein Metrics on Spheres , with C. P. Boyer, in Perspectives in Remannian Geometry, pp. 47-61, CRM Proceedings and Lecture Notes, 40, American Mathematical Society, Providence, RI, 2006.

  6. Einstein Metrics on Spheres, with C. P. Boyer and J. Kollár; Annals of Mathematics (2) 162 (2005), 557-580.

  7. Sasakian Geometry, Hypersurface Singularities, and Einstein Metrics, with C. P. Boyer; Rendiconti del Circolo Matematico di Palermo (2) Suppl. No. 75 (2005), 57-87.

  8. Einstein Metrics on Exotic Spheres in Dimension 7, 11, and 15, with C. P. Boyer, J. Kollár, and E. Thomas; Experimental Mathematics 14 (2005), 61-66.

  9. Toric Self-dual Einstein Metrics as Quotients, with C. P. Boyer, D. M. J. Calderbank, and P. Piccinni; Communications in Mathematical Physics 253 (2005), 337-370.

  10. On Positive Sasakian Geometry, with C. P. Boyer and M. Nakamaye; Geometriae Dedicata 101 (2003), 93-102.

  11. New Einstein Metrics on 8#(S(2)xS(3)), with C. P. Boyer; Differential Geometry and Its Applications 19 (2003), 245-251.

  12. On the Sasakian-Einstein Geometry of 5-Manifolds, with C. P. Boyer and M. Nakamaye; Mathematische Annalen 325 (2003), 485-524.

  13. Sasakian Geometry, Homotopy Spheres, and Positive Ricci Curvature, with C. P. Boyer and M. Nakamaye; Topology 42 (2003), 981-1002.

  14. Einstein Metrics on Rational Homology 7-Spheres, with C. P. Boyer and M. Nakamaye; Annales l'Institute Fourier 52 (2002), 1569-1584.

  15. Rational Homology 5-Spheres with Positive Ricci Curvature, with C. P. Boyer; Mathematical Research Letters 9 (2002), 521-528.

  16. Sasakian-Einstein Structures on 9#(S(2)xS(3)), with C. P. Boyer and M. Nakamaye; Transactions of the American Mathematical Society 354 (2002), 2983-2996.

  17. 3-Sasakian Manifolds, Nilpotent Orbits, and Exceptional Quotients, with C. P. Boyer and P. Piccinni; Annals of Global Analysis and Geometry 21 (2002), 85-110.

  18. New Einstein Metric in Dimension Five, with C. P. Boyer; Journal of Differential Geometry 57 (2001), 443-463.

  19. Contact Geometry and Einstein Manifolds, with C. P. Boyer; Proceedings of the American Mathematical Society 129 (2001), 2419-2430.

  20. On Sasakian-Einstein Geometry, with C. P. Boyer; International Journal of Mathematics 11 (2000), 873-909.

  21. A Note on Toric Contact Geometry, with C. P. Boyer; Journal of Geometry and Physics 35 (2000), 288-298.

  22. 3-Sasakian Manifolds, Encyclopaedia of Mathematics, Supplement II, pp. 449-451, Kluwer Academic Press, 2000.

  23. 3-Sasakian Manifolds, with C. P. Boyer; in Surveys in Differential Geometry VI, Essays on Einstein Manifolds, pp. 123-184. A supplement to the Journal of Differential Geometry; C. LeBrun and M. Wang, Eds., International Press, Cambridge 1999.

  24. Hypercomplex Structures from 3-Sasakian Structures, with C. P. Boyer and B.M. Mann, Journal für die reine und angewandte Mathematik 501 (1998), 115-141.

  25. Compact 3-Sasakian 7-Manifolds with Arbitrary Second Betti Number, with C. P. Boyer, B. M. Mann, and E. G. Rees, Inventiones Mathematicae 131 (1998) 321-344.

  26. A Note on Smooth Toral Reductions of Spheres, with C. P. Boyer and B. M. Mann, Manuscripta Mathematica 95 (1998) 149-158.

  27. The Twistor Space of a 3-Sasakian Manifold, with C. P. Boyer, International Journal of Mathematics 8 (1997) 31-60.

  28. Positive Einstein Manifolds with Arbitrary second Betti Number, with C. P. Boyer, B. M. Mann, and E. G. Rees, Balkan Journal of Geometry and Its Applications 1 (1996) 1-8.

  29. Betti Numbers of 3-Sasakian manifolds, with S. Salamon, Geometriae Dedicata 63 (1996), 45-68.

  30. On Strongly Inhomogeneous Einstein Manifolds, with C. P. Boyer and B. M. Mann, Bulletin of London Mathematical Society 28 (1996) 401-408.

  31. Quaternionic Geometry and 3-Sasakian Manifolds, with C. P. Boyer and B. M. Mann, Proceedings of the Meeting on Quaternionic structures in mathematics and physics, SISSA, Trieste, ILAS/FM-6 (1996) 7-24; appeared in the Electronic Library of Mathematics of the European Mathematical Society, Conference Proceedings (1998).

  32. Hypercomplex Structures on Stiefel Manifolds, with C. P. Boyer and B. M. Mann, Annals of Global Analysis and Geometry 14 (1996) 81-105.

  33. The Geometry and Topology of 3-Sasakian Manifolds, with C. P. Boyer and B. M. Mann, Journal für die reine und angewandte Mathematik 455 (1994) 183-220.

  34. Some New Examples of Compact Inhomogeneous Hypercomplex Manifolds, with C. P. Boyer and B. M. Mann, Mathematical Research Letters 1 (1994) 531-538.

  35. New Examples of Inhomogeneous Einstein Manifolds of Positive Scalar Curvature, with C. P. Boyer and B. M. Mann, Mathematical Research Letters 1 (1994) 115-121.

  36. Quaternionic Reduction and Einstein Manifolds, with C. P. Boyer and B. M. Mann, Cmmunications in Analysis and Geometry 1 (1993), 229-279.

  37. 3-Sasakian Manifolds, with C. P. Boyer and B. M. Mann, Proceedings of Japan Academy 69 Ser. A (1993) 335-340.

  38. Geometry of the Scalar Couplings in N=2 Supergravity Models, Classical and Quantum Gravity 9 (1992), 27-40.

  39. Nonzero Scalar Curvature Generalizations of the ALE Instantons, with T. Nitta, Journal of Mathematical Physics 33 (1992), 1765-1771.

  40. Duality and Yang-Mills Fields on Quaternionic Kähler manifolds, with Yat Sun Poon, Journal of Mathematical Physics 32 (1991) 1263-1268.

  41. Multicenter Metrics with Negative Cosmological Constant, Classical and Quantum Gravity 8 (1991), 1529-1543.

  42. Quaternionic Reduction and Quaternionic Orbifolds, with Blaine H. Lawson, Jr., Mathematische Annalen 282, (1988), 1-21.

  43. New Matter Couplings in N=2 Supergravity, Nuclear Physics B289 (1987), 573-588.

  44. A Generalization of Momentum Mapping Construction for Quaternionic Kähler Manifolds, Communications in Mathematical Physics 108 (1987), 117-138.

  45. Hyperkähler and Quaternionic Kähler Nonlinear Sigma Models, Nuclear Physics B271 (1986), 402-416.

  46. CP(n) nonlinear sigma models with holomorphic constraints in d=2,4 dimensions, Physical Reviews D29 (1984), 1809-1818.