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On the Geometry of Closed G2-Structures

✍ Scribed by Richard Cleyton; Stefan Ivanov


Publisher
Springer
Year
2006
Tongue
English
Weight
214 KB
Volume
270
Category
Article
ISSN
0010-3616

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G 2 -manifolds with a cohomogeneity-one action of a compact Lie group G are studied. For G simple, all solutions with holonomy G 2 and weak holonomy G 2 are classified. The holonomy G 2 solutions are necessarily Ricci-flat and there is a one-parameter family with SU(3)-symmetry. The weak holonomy G