The Bochner Technique and Weighted Curvatures
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020)

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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: smooth metric measure spaces, Hodge theory.
Mots-clés : Bochner technique
Peter Petersen; Matthias Wink. The Bochner Technique and Weighted Curvatures. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a63/
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