A Characterization of the Unit Ball by a Kahler-Einstein Potential

被引：1
|
作者：
Choi, Young-Jun [1 ]
Lee, Kang-Hyurk [2 ,3 ]
Seo, Aeryeong [4 ,5 ]
机构：
[1] Pusan Natl Univ, Dept Math, 2,Busandaehak Ro 63beon Gil, Pusan 46241, South Korea
[2] Gyeongsang Natl Univ, Dept Math, Jinju 52828, Gyeongnam, South Korea
[3] Gyeongsang Natl Univ, Res Inst Nat Sci, Jinju 52828, Gyeongnam, South Korea
[4] Kyungpook Natl Univ, Dept Math, 80,Daehak Ro, Daegu 41566, South Korea
[5] Kyungpook Natl Univ, RIRCM, 80,Daehak Ro, Daegu 41566, South Korea
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
The Kahler-Einstein metric; Complete holomorphic vector fields; The unit ball; Automorphism groups; COMPLEX-MANIFOLDS; CURVATURE;
D O I：
10.1007/s12220-022-01174-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We will show that a universal covering of a compact Kahler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the Kahler-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.
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页数：18
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