|
|||||
|
|
Homogeneous almost quaternion-Hermitian manifolds |
|
| Authors: | Andrei Moroianu Mihaela Pilca Uwe Semmelmann |
| Institution: | 1. Laboratoire de Mathématiques, Université de Versailles-St Quentin, 45 avenue des états-Unis, 78035, Versailles, France 2. Fakult?t für Mathematik, Universit?t Regensburg, Universit?tsstr. 31, 93040, Regensburg, Germany 3. Institute of Mathematics, “Simion Stoilow” of the Romanian Academy, 21, Calea Grivitei Str., 010702, Bucharest, Romania 4. Institut für Geometrie und Topologie, Fachbereich Mathematik, Universit?t Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany |
| Abstract: | An almost quaternion-Hermitian structure on a Riemannian manifold $(M^{4n},g)$ is a reduction of the structure group of $M$ to $\mathrm{Sp}(n)\mathrm{Sp}(1)\subset \text{ SO }(4n)$ . 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 $\mathbb{S }^2\times \mathbb{S }^2$ , or the complex quadric $\text{ SO }(7)/\mathrm{U}(3)$ . |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |