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Homogeneous almost quaternion-hermitian manifolds

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Moroianu, Andrei ; Pilca, Mihaela ; Semmelmann, Uwe
Date of publication of this fulltext: 13 Mar 2013 09:56


An almost quaternion-Hermitian structure on a Riemannian manifold (M4n; g) is a reduction of the structure group of M to Sp(n)Sp(1) � SO(4n). In this paper we show that a compact simply connected homogeneous almost quaternion-Hermitian manifold of
non-vanishing Euler characteristic is either a Wolf space, or S2 � S2, or the complex quadric SO(7)=U(3).

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