Autor:	Takeuchi, Yuya
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Mathematics - Complex Variables 32V05 22E40
Zdroj:	Ann. Global Anal. Geom., 65, 22, (2024)
Druh dokumentu:	Working Paper
DOI:	10.1007/s10455-024-09952-1
Popis:	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. Comment: 16 pages, revised version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.02696 Zobrazit plný text záznamu View this record from Arxiv