On nearly parallel G_2-structures
Friedrich, Thomas ; Kath, Ines ; Moroianu, Andrei ; Semmelmann, Uwe
HAL, hal-00126037 / Harvested from HAL
Text on HAL
A nearly parallel G_2-structure on a seven-dimensional Riemannian manifold is equivalent to a spin structure with a Killing spinor. We prove general results about the automorphism group of such structures and we construct new examples. We classify all nearly parallel G_2-manifolds with large symmetry group and in particular all homogeneous nearly parallel G_2-structures.
Publié le : 1997-07-05
Classification:  G2-structures,  Sasakian manifolds,  Killing spinors,  53C25; 57R15,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00126037,
     author = {Friedrich, Thomas and Kath, Ines and Moroianu, Andrei and Semmelmann, Uwe},
     title = {On nearly parallel G\_2-structures},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00126037}
}

Friedrich, Thomas; Kath, Ines; Moroianu, Andrei; Semmelmann, Uwe. On nearly parallel G_2-structures. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00126037/