Kohn-Rossi cohomology of spherical CR manifolds
Differential Geometry
2024-07-24 v2 Complex Variables
Abstract
We prove some vanishing theorems for the Kohn-Rossi cohomology of some spherical CR manifolds. To this end, we use a canonical contact form defined via the Patterson-Sullivan measure and Weitzenb\"{o}ck-type formulae for the Kohn Laplacian. We also see that our results are optimal in some cases.
Keywords
Cite
@article{arxiv.2309.02696,
title = {Kohn-Rossi cohomology of spherical CR manifolds},
author = {Yuya Takeuchi},
journal= {arXiv preprint arXiv:2309.02696},
year = {2024}
}
Comments
16 pages, revised version