A uniqueness theorem in Kähler geometry

DOI10.1007/s00208-009-0358-0zbMath1182.53067OpenAlexW2128286536MaRDI QIDQ842308

Qun Li, Xi Zhang, Pengfei Guan

Publication date: 22 September 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0358-0

zbMATH Keywords

Kähler manifoldRicci tensorelliptic function

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20)

Related Items (13)

On the maximal rank problem for the complex homogeneous Monge-Ampère equation ⋮ On a class of fully nonlinear elliptic equations on closed Hermitian manifolds ⋮ On a constant rank theorem for nonlinear elliptic PDEs ⋮ A microscopic convexity principle for nonlinear partial differential equations ⋮ Monge-Ampère type equations on almost Hermitian manifolds ⋮ A maximum rank problem for degenerate elliptic fully nonlinear equations ⋮ On Space-Time Quasiconcave Solutions of the Heat Equation ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ A rigidity theorem for the deformed Hermitian-Yang-Mills equation ⋮ On a class of fully nonlinear flows in Kähler geometry ⋮ On a class of fully nonlinear elliptic equations on Hermitian manifolds ⋮ Rigidity theorems for complete Sasakian manifolds with constant pseudo-Hermitian scalar curvature ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems

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• The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation
• Differentiability properties of isotropic functions
• Ricci flow on Kähler-Einstein surfaces.
• A microscopic convexity principle for nonlinear partial differential equations
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• A constant rank theorem for solutions of fully nonlinear elliptic equations

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