Kähler-Ricci soliton typed equations on compact complex manifolds withC 1(M) > 0
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Aubin, T. Réduction du cas positif de l’équation de Monge-Ampére sur les variétés Kählerinnes compactes à la démonstration d’un intégalité,J. Fund. Anal.,57, 143–153, (1984).
Bando, S. and Mabuchi, T. Uniqueness of Kähler-Einstein metrics modula connected group actions, Algebraic Geometry,Adv. Studies in Pure Math.,10, Sendai, (1987).
Cao. H.D. Existence of gradient Kähler-Ricci solitons. Elliptic and parabolic methods in geometry, Peters, A.K., Chow, B., Gulliver, R., Levy, S., and Sullivan, J., Eds., 1–16, 1994.
Ding, W. and Tian, G. Kähler-Einstein metrics and the generalized Futaki invariants,Invent. Math.,110, 315–335, (1992).
Futaki, A. An obstruction to the existence of Kähler-Einstein metrics,Invent. Math.,73, 437–443, (1983).
Futaki, A. Kähler-Einstein metrics and integral invariants,Lect. Notes in Math.,1314, Springer-Verlag, Berlin, (1988).
Futaki, A. and Mabuchi, T. Bilinear forms and extremal Kähler vector fields associated with Kähler classes,Math. Ann.,301, 199–210, (1995).
Koiso, N. On rationally symmetric Hamilton’s equation for Kähler-Einstein metrics, Algebraic Geometry,Adv. Studies in Pure Math.,18-1, Sendai, (1990).
Siu, Y.T. The existence of Kähler-Einstein metrics on manifolds with positive anticanonnical line bundle and a suitable symmetry group,Ann. Math.,127, 585–627, (1988).
Tian, G. On Calabi’s conjecture for complex surfaces with positive Chern class,Invent. Math.,101, 101–172, (1990).
Tian, G. Kähler-Einstein metrics on algebraic manifolds,Lect. Notes in Math.,1646, Springer-Verlag, Berlin, (1996).
Tian, G. and Zhu, X.H. Uniqueness of Kähler-Ricci solitons on compact complex manifolds withC 1 (M) > 0, to appear inActa Math.