[1] Bando S, Kasue A, Nakajima H. On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth. Invent Math, 1989, 97(2):313-349 [2] Bando S, Mabuchi T. Uniqueness of Einstein Kähler metrics modulo connected group actions//Adv Stud Pure Math, 10. Amsterdam:North-Holland, 1987 [3] Bochner S. Curvature and Betti numbers. 2. Ann Math, 1949, 50(1):77-93 [4] Chen X. Recent progress in Kähler geometry (ENG)//Proceedings of the International Congress of Mathematicians. Vol. Ⅱ. Beijing:Higher Education Press, 2002:273-282 [5] Donaldson S K. Conjectures in Kähler geometry//Douglas M, Gauntlett J, Gross M. Strings and Geometry. American Mathematical Society, 2004:71-78 [6] Hebey E. Variational methods and elliptic equations in Riemannian geometry. Workshop on Recent Trends in Nonlinear Variational Problems. Notes from Lectures at ICTP, 2003 [7] Hebey E. Nonlinear Analysis on Manifolds:Sobolev Spaces and Inequalities. Courant Lect Notes Math, 5. New York:Courant Institute of Mathematical Sciences, 1999 [8] Huisken G. Ricci deformation of the metric on a Riemannian manifold. J Differential Geom, 1985, 21(1985):2438-2443 [9] Hebey E, Vaugon M. Effective Lp pinching for the concircular curvature. J Geom Anal, 1996, 6(4):531-553 [10] Itoh M, Nakagawa T. Variational stability and local rigidity of Einstein metrics. Yokohama Math J, 2005, 51(2):103-115 [11] Itoh M, Satoh H. Isolation of the Weyl conformal tensor for Einstein manifolds. Proc Japan Acad, 2002, 2015(5):1163-1168 [12] Itoh M, Kobayashi D. Isolation theorems of the Bochner curvature type tensors. Tokyo J Math, 2004, 27(2004):227-237 [13] Kim S. Rigidity of noncompact complete manifolds with harmonic curvature. Manuscripta Math, 2009, 135(1/2):107-116 [14] Kobayashi S, Nomizu K. Foundations of Differential Geometry. Vol. Ⅱ. Wiley Classics Library, 1996 [15] Kühnel M. Complete Kähler-Einstein manifolds//Ebeling W, Hulek K, Smoczyk K, eds. Complex and Differential Geometry. Berlin, Heidelberg:Springer, 2011:171-181 [16] Lee J M, Parker T H. The Yamabe problem. Bull Amer Math Soc, 1987, 17(1):37-91 [17] Lebrun C, Simanca S R. Extremal Kähler metrics and complex deformation theory. Geom Funct Anal, 1994, 4(3):298-336 [18] Obata M. The conjectures on conformal transformations of Riemannian manifolds. Bull Amer Math Soc, 1971, 77(1971):247-258 [19] Okumura M. Hypersurfaces and a 'pinching problem on the second fundamental tensor. Amer J Math, 1974, 96(1):207-213 [20] Pigola S, Rigoli M, Setti A. Some characterizations of space-forms. Trans Amer Math Soc, 2007, 359(4):1817-1828 [21] Ren Y, Lin H, Dong Y. Rigidity theorems for complete Sasakian manifolds with constant pseudo-Hermitian scalar curvature. J Geom Anal, 2014:1-29 [22] Shen Z M. Some rigidity phenomena for Einstein metrics. Proc Amer Math Soc, 1990, 108(4):981-987 [23] Shen Z. Rigidity theorems for nonpositive Einstein metrics. Proc Amer Math Soc, 1992, 116(4):1107-1114 [24] Schoen R, Yau S T. Conformally flat manifolds, Kleinian groups and scalar curvature. Invent Math, 1988, 92(1):47-71 [25] Tian G. Extremal metrics and geometric stability. Houston J Math, 2002, 28(2):411-432 [26] Tian G, Yau S T. Complete Kähler manifolds with zero Ricci curvature. I. J Amer Math Soc, 1990, 3(3):579-610 [27] Tian G, Yau S T. Complete Kähler manifolds with zero Ricci curvature. Ⅱ. Invent Math, 1991, 106:27-60 [28] Zhang Y. A note on conical Kähler-Ricci flow on minimal elliptic Kähler surface. Acta Math Sci, 2018, 38B(1):169-176 |