Kohn-Rossi cohomology and the Bochner technique
Differential Geometry
2025-09-19 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.2505.24184,
title = {Kohn-Rossi cohomology and the Bochner technique},
author = {Alex Tao},
journal= {arXiv preprint arXiv:2505.24184},
year = {2025}
}
Comments
Improved exposition, corrected minor typos; 9 pages