Nearly Kahler homogeneous manifolds with positive curvature

Autor:	Davila, J. C. Gonzalez, Cabrera, F. Martin
Rok vydání:	2009
Předmět:	Mathematics - Differential Geometry 53C20 53C30
Druh dokumentu:	Working Paper
Popis:	We prove that a 2n-dimensional compact homogeneous nearly Kahler manifold with strictly positive sectional curvature is isometric to CP^{n}, equipped with the symmetric Fubini-Study metric or with the standard Sp(m)-homogeneous metric, n =2m-1, or to S^{6} as Riemannian manifold with constant sectional curvature. This is a positive answer for a revised version of a conjecture given by Gray. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0904.0572 Zobrazit plný text záznamu View this record from Arxiv