论文标题

新的Bochner类型定理

New Bochner type theorems

论文作者

Chen, Xiaoyang, Han, Fei

论文摘要

Bochner的经典定理断言,紧凑型riemannian歧管的等轴测组是有限的。在本文中,我们通过允许“小”阳性RICCI曲率提供了Bochner定理的几个扩展。

A classical theorem of Bochner asserts that the isometry group of a compact Riemannian manifold with negative Ricci curvature is finite. In this paper we give several extensions of Bochner's theorem by allowing "small" positive Ricci curvature.

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