Nearly Kahler homogeneous manifolds with positive curvature

Details Nearly Kahler homogeneous manifolds with positive curvature Nearly Kahler homogeneous manifolds with positive curvature

2009-04-03

arxiv.org/abs/0904.0572v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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.

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