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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 240
On the Infinitesimal Isometries of Manifolds with Killing Spinors. A. Moroianu
We study the Lie algebra of infinitesimal isometries of 7--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 are no infinitesimal isometry of constant length on a 7--dimensional 3--Sasakian manifold (not isometric to a space form) except the linear combinations of the Sasakian vector fields.
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