Schur’s lemma for Kähler manifolds

被引：0

作者：

Toshiaki Adachi

Sadahiro Maeda

Seiichi Udagawa

机构：

[1] Nagoya Institute of Technology,Department of Mathematics

[2] Shimane University,Department of Mathematics

[3] Saga University,Department of Mathematics

[4] Nihon University,Department of Mathematics, School of Medicine

来源：

Archiv der Mathematik | 2008年 / 90卷

关键词：

Primary 53B35; Secondary 53B20; Kähler manifolds; complex space forms; sectional curvatures; holomorphic sectional curvatures; complex torsion; circles;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a necessary and sufficient condition for a Kähler manifold of complex dimension n ≧ 2 to be a complex space form in terms of its sectional curvatures, which is an extension of Schur’s lemma. Our study is related to a congruence theorem for circles in a complex space form

引用

页码：163 / 172

页数：9