Nearly Kahler homogeneous manifolds with positive curvature

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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.
10 pages

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Differential Geometry, 53C20; 53C30

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http://salesiana.dossiersoluciones.com/handle/123456789/225803

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.0572
 http://arxiv.org/abs/0904.0572

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arXiv