EXISTENCE OF EXTREMAL METRICS ON COMPACT ALMOST HOMOGENEOUS KAHLER-MANIFOLDS WITH 2 ENDS

被引：46

作者：

GUAN, D ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 347卷 / 06期

关键词：

EXTREMAL METRICS; ALMOST HOMOGENEOUS MANIFOLDS; KAHLER-EINSTEIN MANIFOLDS; SCALAR CURVATURE EQUATIONS;

D O I：

10.2307/2154938

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we prove the existence and the uniqueness of extremal metrics in every Kahler class of any compact almost homogeneous Kahler manifold with two ends by considering the scalar curvature equations, those manifolds might not be projective. We also prove that there are extremal metrics in some Kahler classes of a completion of the multicanonical line bundle of a Kahler-Einstein manifold of positive Ricci curvature.

引用

页码：2255 / 2262

页数：8

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