On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I*

Keywords

Ricci curvature, Mathematics, Manifold (fluid mechanics), Curvature, Citation

References

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• Nonlinear Functional AnalysisJacob T. Schwartz — 1969
• Multiple Integrals in the Calculus of VariationsCharles B. Morrey — 1966
• On the regularity of the solution of the n‐dimensional Minkowski problemShiu‐Yuen Cheng, Shing–Tung Yau — 1976
• On the regularity of the monge‐ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)Shiu‐Yuen Cheng, Shing–Tung Yau — 1977
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equationsJürgen Moser — 1960
• Calabi's conjecture and some new results in algebraic geometry.Shing–Tung Yau — 1977
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens.Eugenio Calabi — 1958
• Characteristic Classes of Hermitian ManifoldsShiing-Shen Chern — 1946

Cited by

• On manifolds with Ricci curvature lower bound and Kahler manifolds with nonpositive bisectional curvatureGang Liu — 2013
• Least negative intersections of positive closed currents on compact Kähler manifoldsTuyen Trung Truong — 2014
• Riemannian, Symplectic and Weak HolonomyLorenz Schwachhöfer — 2000
• Deformations of Almost-Kähler Metrics with Constant Scalar Curvature on Compact Kähler ManifoldsJongsu Kim, Chanyoung Sung — 2002
• Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theoremJian Song — 2014
• Bando–Futaki invariants and Kähler–Einstein metricNaichung Conan Leung — 1998
• THE CALABI FUNCTIONAL ON A RULED SURFACEGábor Székelyhidi — 2007
• Compact Ricci-Flat Kähler ManifoldsIchiro Enoki — 1990
• Large deviations and entropy for determinantal point processes on complex manifoldsRobert J. Berman — 2008
• A Gradient Estimate for the Ricci–Kähler FlowBennett Chow — 2001
• Constructing balanced metrics on some families of non-Kahler Calabi-Yau threefoldsJixiang Fu, Jun Li, Shing–Tung Yau — 2008
• Boundary behavior of the complex Monge-Ampère equationJohn Lee, Richard Melrose — 1982
• Constructing compact manifolds with exceptional holonomyDominic Joyce — 2002
• A C2-estimate for solutions of complex Monge-Ampère equations.Friedmar Schulz — 1984
• Characteristic Classes and Rozansky-Witten Invariants of Compact Hyperkähler ManifoldsMarc Nieper-Wißkirchen — 2004
• Stability of the Ricci flow at Ricci-flat metricsChristine Guenther, James Isenberg, Dan Knopf — 2002
• Cycles algébriques et cohomologie de certaines variétés projectives complexesFrançois Charles — 2010
• Surfaces algébriques hyperboliques : propriétés de négativité de la courbureJawher El Goul — 1997
• Uniqueness of Einstein Kähler Metrics Modulo Connected Group ActionsShigetoshi Bando, Toshiki Mabuchi — 1987
• Fully nonlinear flows and Hessian equations on compact Kahler manifoldsMijia Lai — 2011

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