Journal of Noncommutative Geometry
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Published online: 2017-09-26
A note on the Lichnerowicz vanishing theorem for proper actionsWeiping Zhang (1) Nankai University, Tianjin, China
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: Positive scalar curvature, proper actions, vanishing theorem
Zhang Weiping: A note on the Lichnerowicz vanishing theorem for proper actions. J. Noncommut. Geom. 11 (2017), 823-826. doi: 10.4171/JNCG/11-3-1