On the In nitesimal Isometries of Manifolds with Killing Spinors
نویسنده
چکیده
We study the Lie algebra of innnitesimal 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 innnites-imal 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 elds.
منابع مشابه
On the infinitesimal isometries of manifolds with Killing spinors
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 co...
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