Geodesic
The Bochner Technique and Weighted Curvatures
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 
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     author = {Peter Petersen and Matthias Wink},
     title = {The {Bochner} {Technique} and {Weighted} {Curvatures}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a63/}
}
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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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