A rigidity theorem for Killing vector fields on compact manifolds with almost nonpositive Ricci curvature

Katsuda, Atsushi; Nakamura, Takuya

doi:10.1090/proc/14742

A rigidity theorem for Killing vector fields on compact manifolds with almost nonpositive Ricci curvature
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by Atsushi Katsuda and Takuya Nakamura PDF

Proc. Amer. Math. Soc. 149 (2021), 1215-1224 Request permission

Abstract:

We prove a rigidity theorem for Killing vector fields of a manifold with almost nonpositive Ricci curvature, which is a generalization of Bochner’s classical results.

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