Kohn-Rossi cohomology and the Bochner technique

Alex Tao

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arXiv · 2505.24184

Kohn-Rossi cohomology and the Bochner technique

Alex Tao

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Abstract

We prove a vanishing theorem of Betti numbers on compact, strictly pseudoconvex pseudohermitian manifolds with non-negative curvature operator. The proof is by an application of the Bochner technique to the setting of CR manifolds.

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Alex Tao. 2025-05-30. Kohn-Rossi cohomology and the Bochner technique. https://arxiv.org/abs/2505.24184

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