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arXiv · 2309.02696

Kohn-Rossi cohomology of spherical CR manifolds

Yuya Takeuchi
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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.

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Yuya Takeuchi. 2023-09-06. Kohn-Rossi cohomology of spherical CR manifolds. https://doi.org/10.1007/s10455-024-09952-1

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