Homogeneous almost quaternion-Hermitian manifolds

作者：Moroianu Andrei^*; Pilca Mihaela; Semmelmann Uwe

来源：Mathematische Annalen, 2013, 357(4): 1205-1216.

DOI：10.1007/s00208-013-0934-1

An almost quaternion-Hermitian structure on a Riemannian manifold is a reduction of the structure group of to . 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 S-2 x S-2 , or the complex quadric SO(7)/U(3) .

• 出版日期2013-12