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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 064, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.064 (Mi sigma1601) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2020.064
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
Bibliographic databases:
Document Type: Article
MSC: 53B20, 53C20, 53C21, 53C23, 58A14
Language: English
Citation: Peter Petersen, Matthias Wink, “The Bochner Technique and Weighted Curvatures”, SIGMA, 16 (2020), 064, 10 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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