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On nearly parallel G2-structures |
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| Authors: | Th. Friedrich I. Kath A. Moroianu U. Semmelmann |
| Affiliation: | a Humboldt-Universität zu Berlin, Institut für Reine Mathematik, Ziegelstraβe 13 A, D-10099, Berlin, Germany b Centre de Mathématiques, Ecole Polytechnique, 91128, Palaiseau, Cedex, France |
| Abstract: | A nearly parallel G2-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 G2-manifolds with large symmetry group and in particular all homogeneous nearly parallel G2-structures. |
| Keywords: | Differential geometryG2-structure Sasakian manifold Killing spinor |
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