English

A note on the Lichnerowicz vanishing theorem for proper actions

Differential Geometry 2015-06-10 v1

Abstract

We prove a Lichnerowicz type vanishing theorem for non-compact spin manifolds admiting proper cocompact actions. This extends a previous result of Ziran Liu who proves it for the case where the acting group is unimodular.

Keywords

Cite

@article{arxiv.1506.02968,
  title  = {A note on the Lichnerowicz vanishing theorem for proper actions},
  author = {Weiping Zhang},
  journal= {arXiv preprint arXiv:1506.02968},
  year   = {2015}
}

Comments

3 pages

R2 v1 2026-06-22T09:50:16.455Z