A RIGIDITY THEOREM FOR KILLING VECTOR FIELDS ON COMPACT MANIFOLDS WITH ALMOST NONPOSITIVE RICCI CURVATURE

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.

Automated summary

This study proves a rigidity theorem for Killing vector fields on manifolds with almost nonpositive Ricci curvature, which is a generalization of Bochner's classical results.