The Bochner Technique and Weighted Curvatures

In this note, we study the Bochner formula on smooth metric measure spaces. We introduce weighted curvature conditions that imply the vanishing of all Betti numbers.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Petersen, Peter, Wink, Matthias
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210784
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Bochner Technique and Weighted Curvatures. Peter Petersen and Matthias Wink. SIGMA 16 (2020), 064, 10 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine