On the infinitesimal isometries of manifolds with Killing spinors

JOURNAL OF GEOMETRY AND PHYSICS

卷:35

Article

Moroianu, A

关键词: infinitesimal isometry;    Killing spinor;    Sasakian structure;   

DOI  :  10.1016/S0393-0440(99)00079-0

来源: Elsevier

【 摘 要 】

We study the Lie algebra of infinitesimal isometries of seven-dimensional simply connected manifolds with Killing spinors. We obtain some splitting theorems for the action of this algebra on the space of Killing spinors, and as a corollary we prove that there is no infinitesimal isometry of constant length on a seven-dimensional 3-Sasakian manifold (not isometric to a space form) except the linear combinations of the Sasakian vector fields. (C) 2000 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free