Kohn-Rossi cohomology of spherical CR manifolds
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\"ock-type formulae for the Kohn Laplacian. We also see that our results are optimal in some cases.
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