Homogeneous almost quaternion-Hermitian manifolds

Moroianu, Andrei and Pilca, Mihaela and Semmelmann, Uwe (2013) Homogeneous almost quaternion-Hermitian manifolds. MATHEMATISCHE ANNALEN, 357 (4). pp. 1205-1216. ISSN 0025-5831, 1432-1807

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Abstract

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) .

Item Type: Article
Uncontrolled Keywords: CLIFFORD STRUCTURES; HYPERCOMPLEX;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Mar 2020 07:19
Last Modified: 25 Mar 2020 07:19
URI: https://pred.uni-regensburg.de/id/eprint/15636

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