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This article is cited in 1 scientific paper (total in 1 paper)
The Bochner Technique and Weighted Curvatures
Peter Petersen, Matthias Wink Department of Mathematics, University of California, 520 Portola Plaza, Los Angeles, CA, 90095, USA
Abstract:
In this note we study the Bochner formula on smooth metric measure spaces. We introduce weighted curvature conditions that imply vanishing of all Betti numbers.
Keywords:
Bochner technique, smooth metric measure spaces, Hodge theory.
Received: May 22, 2020; in final form June 29, 2020; Published online July 9, 2020
Citation:
Peter Petersen, Matthias Wink, “The Bochner Technique and Weighted Curvatures”, SIGMA, 16 (2020), 064, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1601 https://www.mathnet.ru/eng/sigma/v16/p64
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Abstract page: | 132 | Full-text PDF : | 21 | References: | 9 |
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