Hypersurfaces of Symmetric Spaces, Biquotients and Orbifolds
Moduli spaces of pfaffian representations of cubic three-folds and instanton bundles
| Full text | |
| Author(s): |
Mucha, Marco
[1]
Total Authors: 1
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 139, n. 6, p. 2249-2255, JUN 2011. |
| Web of Science Citations: | 1 |
| Abstract | |
We study polar actions with horizontal sections on the total space of certain principal bundles G/K -> G/H with base a symmetric space of compact type. We classify such actions up to orbit equivalence in many cases. In particular, we exhibit examples of hyperpolar actions with cohomogeneity greater than one on locally irreducible homogeneous spaces with nonnegative curvature which are not homeomorphic to symmetric spaces. (AU) | |