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.References
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Additional Information
- Atsushi Katsuda
- Affiliation: Faculty of Mathematics, Kyushu University, Fukuoka 819-0395, Japan
- MR Author ID: 227490
- Email: katsuda@math.kyushu-u.ac.jp
- Takuya Nakamura
- Affiliation: Westa Maruki, Branch Ozuki, Shimonoseki, Ohkihonmachi 750-1114, Japan
- Email: takuya.nakamura.12191@gmail.com
- Received by editor(s): March 1, 2019
- Received by editor(s) in revised form: April 29, 2019, and June 12, 2019
- Published electronically: January 13, 2021
- Additional Notes: The first-named author was supported by JSPS KAKENHI Grant Number 18K03282.
- Communicated by: Jiaping Wang
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 1215-1224
- MSC (2020): Primary 53-XX; Secondary 58-XX
- DOI: https://doi.org/10.1090/proc/14742
- MathSciNet review: 4211875