Uniqueness of extremal Kähler metrics

DOI10.1016/j.crma.2004.11.028zbMath1069.32017OpenAlexW2063290537MaRDI QIDQ1775071

Xiuxiong Chen, Tian, Gang

Publication date: 4 May 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.11.028

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Riemann-Hilbert problems in context of PDEs (35Q15) Complex Monge-Ampère operators (32W20) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

Extremal metrics on toric surfaces, CANONICAL METRICS ON CARTAN–HARTOGS DOMAINS, Canonical metrics on generalized Cartan-Hartogs domains, Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability, Note on scalar curvature of extremal Kähler metrics on \(\mathbb{C} P^2 \# 2 \overline{\mathbb{C} P^2}\), Partial regularity for homogeneous complex Monge-Ampère equations, Canonical metrics on Hartogs domains, On conformally Kähler, Einstein manifolds, Extremal Kähler metrics induced by finite or infinite-dimensional complex space forms, The Sasaki join and admissible Kähler constructions, The Einstein-Maxwell equations, Kähler metrics, and Hermitian geometry

Cites Work

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• Some symplectic geometry on compact Kähler manifolds. I
• The Dirichlet problem for a complex Monge-Ampère equation
• Kähler-Einstein metrics with positive scalar curvature
• Scalar curvature and projective embeddings. I
• Uniqueness of Kähler-Ricci solitons.
• The space of Kähler metrics.
• Stability of extremal Kähler manifolds
• Partial regularity for homogeneous complex Monge-Ampère equations
• Holomorphic discs and the complex Monge-Ampère equation.
• Scalar curvature and projective embeddings, II
• Complex Monge-Ampere and Symplectic Manifolds