The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries

Autor:	Baudoin, Fabrice, Kim, Bumsik
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We prove a lower bound for the first eigenvalue of the sub-Laplacian on sub-Riemannian manifolds with transverse symmetries. When the manifold is of H-type, we obtain a corresponding rigidity result: If the optimal lower bound for the first eigenvalue is reached, then the manifold is equivalent to a 1 or a 3-Sasakian sphere. Comment: To appear in Journal of Geometric Analysis, Final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.2453 Zobrazit plný text záznamu View this record from Arxiv