Critical Metrics for Riemannian Curvature Functionals
作者： Jeff A. Viaclovsky
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摘要: This article is based upon lectures given at the 2013 IAS/Park City Mathematics Institute summer program in geometric analysis.
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Richard M. Schoen, Variational theory for the total scalar curvature functional for riemannian metrics and related topics Springer Berlin Heidelberg. pp. 120- 154 ,(1989) , 10.1007/BFB0089180
Akito Futaki, Kahler-Einstein Metrics and Integral Invariants ,(1988)
Neil S. Trudinger, Remarks concerning the conformal deformation of riemannian structures on compact manifolds Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze. ,vol. 22, pp. 265- 274 ,(1968)
Jeff Cheeger, Detlef Gromoll, The splitting theorem for manifolds of nonnegative Ricci curvature Journal of Differential Geometry. ,vol. 6, pp. 119- 128 ,(1971) , 10.4310/JDG/1214430220
V. Apostolov, D. M. J. Calderbank, P. Gauduchon, The Geometry of Weakly Self-dual Kähler Surfaces Compositio Mathematica. ,vol. 135, pp. 279- 322 ,(2003) , 10.1023/A:1022251819334
Morio Obata, The conjectures on conformal transformations of Riemannian manifolds Journal of Differential Geometry. ,vol. 6, pp. 247- 258 ,(1971) , 10.4310/JDG/1214430407
P. B. Kronheimer, A Torelli-type theorem for gravitational instantons Journal of Differential Geometry. ,vol. 29, pp. 685- 697 ,(1989) , 10.4310/JDG/1214443067
Wei-Min Sheng, Neil S. Trudinger, Xu-Jia Wang, The Yamabe problem for higher order curvatures Journal of Differential Geometry. ,vol. 77, pp. 515- 553 ,(2007) , 10.4310/JDG/1193074903
Clifford Henry Taubes, The existence of anti-self-dual conformal
structures Journal of Differential Geometry. ,vol. 36, pp. 163- 253 ,(1992) , 10.4310/JDG/1214448445
Norihito Koiso, Rigidity and stability of Einstein metrics---the case of compact symmetric spaces Osaka Journal of Mathematics. ,vol. 17, pp. 51- 73 ,(1980) , 10.18910/11783