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.
Cite this article
Weiping Zhang, A note on the Lichnerowicz vanishing theorem for proper actions. J. Noncommut. Geom. 11 (2017), no. 3, pp. 823–826DOI 10.4171/JNCG/11-3-1