@article{19385dd29f7248ccbd4036f4ebd9e844,

title = "A rigidity theorem for killing vector fields on compact manifolds with almost nonpositive ricci curvature",

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.",

author = "Atsushi Katsuda and Takuya Nakamura",

note = "Funding Information: Received by the editors March 1, 2019, and, in revised form, April 29, 2019, and June 12, 2019. 2020 Mathematics Subject Classification. Primary 53-XX; Secondary 58-XX. Key words and phrases. Killing vector fields, Ricci curvature. The first-named author was supported by JSPS KAKENHI Grant Number 18K03282. Publisher Copyright: {\textcopyright} 2021 American Mathematical Society",

year = "2021",

month = mar,

doi = "10.1090/proc/14742",

language = "English",

volume = "149",

pages = "1215--1224",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "3",

}