A characterization of the unit ball by a Kähler-Einstein potential

DOI10.1007/s12220-022-01174-wOpenAlexW4321783859MaRDI QIDQ2688855

Kang-Hyurk Lee, Young-Jun Choi, Aeryeong Seo

Publication date: 6 March 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.13830

zbMATH Keywords

Kähler-Einstein metricautomorphism groupsunit ballcomplete holomorphic vector fields

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex Lie groups, group actions on complex spaces (32M05) Kähler-Einstein manifolds (32Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• Semisimplicity of the group of biholomorphisms of the universal covering of a compact complex manifold with ample canonical bundle
• \(L^ 2\)-cohomology and index theorem for the Bergman metric
• Complex geometry of convex domains that cover varieties
• A compact Kähler surface of negative curvature not covered by the ball
• Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
• Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
• \(L_ 2\) cohomology of the Bergman metric for weakly pseudoconvex domains
• Locally symmetric and rigid factors for complex manifolds via harmonic maps
• Existence of a complete holomorphic vector field via the Kähler-Einstein metric
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group
• A General Schwarz Lemma for Kahler Manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Extension of the Wong-Rosay theorem to the unbounded case
• A Note on the Wong-Rosay Theorem in Complex Manifolds
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• On the Kähler-Einstein metric at strictly pseudoconvex points
• A Note on the Bergman metric of Bounded homogeneous Domains

This page was built for publication: A characterization of the unit ball by a Kähler-Einstein potential