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<p>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.</p>

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Kohn–Rossi Cohomology and the Bochner Technique

  • 期刊论文

  • 发表日期：

    2025年9月25日

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  • Alex Tao

摘要

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.