On the infinitesimal isometries of manifolds with Killing spinors
Moroianu, Andrei
HAL, hal-00126031 / Harvested from HAL
Text on HAL
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.
Publié le : 2000-07-05
Classification:  Infinitesimal isometry,  Killing spinor,  Sasakian structure,  53C25; 53A50,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00126031,
     author = {Moroianu, Andrei},
     title = {On the infinitesimal isometries of manifolds with Killing spinors},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00126031}
}

Moroianu, Andrei. On the infinitesimal isometries of manifolds with Killing spinors. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00126031/