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Nearly Kahler homogeneous manifolds with positive curvature

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 نشر من قبل Francisco Martin Cabrera
 تاريخ النشر 2009
  مجال البحث
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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.



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