English

New Bochner type theorems

Differential Geometry 2022-08-04 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2003.09897,
  title  = {New Bochner type theorems},
  author = {Xiaoyang Chen and Fei Han},
  journal= {arXiv preprint arXiv:2003.09897},
  year   = {2022}
}

Comments

23pages

R2 v1 2026-06-23T14:23:06.360Z