Special Kähler-Ricci potentials on compact Kähler manifolds

Journal fur die Reine und Angewandte Mathematik

Volumn , Issue 593, 2006, Pages 73-116

  Derdzinski, A ^a,b   Maschler, G ^a,c  

^a Ohio State University ^*

^b OHIO STATE UNIVERSITY   (United States)

^c EMORY UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646682857     PISSN: 00754102     EISSN: 00754102     Source Type: Journal    
DOI: 10.1515/CRELLE.2006.030     Document Type: Article

References (20)

1. M. T. Anderson, Topics in conformally compact Einstein metrics, in: Perspectives in comparison, generalized and special geometry, V. Apostolov, A. Dancer, N. J. Hitchin and M. Wang, eds., CRM Proc. Lect. Notes, to appear.
2. V. Apostolov, D. M. J. Calderbank and P. Gauduchon, Hamiltonian 2-forms in Kähler geometry, I, preprint, arXiv:math.DG/0202280.
3. V. Apostolov, D. M. J. Calderbank, P. Gauduchon and C. W. Tonnesen-Friedman, Hamiltonian 2-forms in Kähler geometry, II, J. Diff. Geom. 68 (2004), 277-345.
4. L. Bérard Bergery, Sur de nouvelles variétés riemanniennes d'Einstein, Publ. Inst. E. Cartan (Nancy) 4 (1982), 1-60.
5. R. Bott, Nondegenerate critical manifolds, Ann. Math. 60 (1954), 248-261.
6. E. Calabi, Extremal Kähler metrics, Seminar on Differential Geometry, S.-T. Yau, ed., Ann. Math. Stud. 102, Princeton (1982), 259-290.
7. A. Derdzinski and G. Maschler, Local classification of conformally-Einstein Kähler metrics in higher dimensions, Proc. London Math. Soc. (3) 87 (2003), 779-819.
8. A. Derdzinski and G. Maschler, A moduli curve for compact conformally-Einstein Kähler manifolds, Compos. Math. 141 (2005), 1029-1080.
9. S. Gudmundsson, On the geometry of harmonic morphisms, Math. Proc. Camb. Phil. Soc. 108 (1990), 461-466.
10. A. D. Hwang and S. R. Simanca, Extremal Kähler metrics on Hirzebruch surfaces which are locally conformally equivalent to Einstein metrics, Math. Ann. 309 (1997), 97-106.
11. A. D. Hwang and M. A. Singer, A momentum construction for circle invariant Kähler metrics, Trans. Amer. Math. Soc. 354 (2002), 2285-2325.
12. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, Interscience, New York 1963.
13. S. Kobayashi and T. Ochiai, Characterizations of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ. 13 (1973), 31-47.
14. N. Koiso, On rotationally symmetric Hamilton's equation for Kähler-Einstein metrics, Academic Press, Boston, MA, Recent topics in differential and analytic geometry, Adv. Stud. Pure Math. 18-I (1990), 327-337.
15. J. W. Milnor, Morse Theory, 2nd ed., Ann. Math. Stud. 62, Princeton 1965.
16. S. B. Myers and N. E. Steenrod, The group of isometries of a Riemannian manifold, Ann. Math. (2) 40 (1939), 400-416.
17. D. Page, A compact rotating gravitational instanton, Phys. Lett. 79 B (1978), 235-238.
18. Y. Sakane, Examples of compact Einstein Kähler manifolds with positive Ricci tensor, Osaka J. Math. 23 (1986), 585-616.
19. G. Tian and X. Zhu, A new holomorphic invariant and uniqueness of Kähler-Ricci solitons, Comment. Math. Helv. 77 (2002), 297-325.
20. C. W. Tønnesen-Friedman, Extremal Kähler metrics and Hamiltonian functions II, Glasgow Math. J. 44 (2002), 241-253.