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arXiv · 2301.05914

A Bochner Technique For Foliations With Non-Negative Transverse Ricci Curvature

Leon Roschig
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Abstract

We generalize the Bochner technique to foliations with non-negative transverse Ricci curvature. In particular, we obtain a new vanishing theorem for basic cohomology. Subsequently, we provide two natural applications, namely to degenerate 3-$(\alpha,\delta) $-Sasaki and certain Sasaki-$ \eta $-Einstein manifolds, which arise for example as Boothby-Wang bundles over hyperk\"ahler and Calabi-Yau manifolds, respectively.

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Leon Roschig. 2023-01-14. A Bochner Technique For Foliations With Non-Negative Transverse Ricci Curvature. https://arxiv.org/abs/2301.05914

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