Kohn-Rossi cohomology of spherical CR manifolds
arXiv:2309.02696 · doi:10.1007/s10455-024-09952-1
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 Weitzenböck-type formulae for the Kohn Laplacian. We also see that our results are optimal in some cases.
16 pages, revised version