A Characterization of the Unit Ball by a Kähler–Einstein Potential
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초록

We will show that a universal covering of a compact Kähler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the Kähler–Einstein metric whose gradient length is a minimal constant. As an application, we will extend the Wong–Rosay theorem to a complex manifold without boundary. © 2022, Mathematica Josephina, Inc.

키워드

Automorphism groupsComplete holomorphic vector fieldsThe Kähler–Einstein metricThe unit ball
제목
A Characterization of the Unit Ball by a Kähler–Einstein Potential
저자
Choi, Y.-J.Lee, K.-H.Seo, A.
DOI
10.1007/s12220-022-01174-w
발행일
2023-04
유형
Article
저널명
Journal of Geometric Analysis
33
4