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
✦ LIBER ✦
Cohomogeneity one Alexandrov spaces
✍ Scribed by Fernando Galaz-Garcia; Catherine Searle
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2011
- Tongue
- English
- Weight
- 399 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1083-4362
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