Toric moment mappings and Riemannian structures

Details Toric moment mappings and Riemannian structures Toric moment mappings and Riemannian structures

2008-10-15

arxiv.org/abs/0810.2799v1

Mathematics

Differential Geometry

23 pages, 13 figures

Scientific paper

We give an interpretation of the symplectic fibrations of coadjoint orbits for the group SU(4) in terms of the compatibility of Riemannian G-reductions in six dimensions. An analysis of moment polytopes associated to a standard Hamiltonian toric action on the coadjoint orbits highlights these relations. This theory leads to a geometrical application to intrinsic torsion classes of 6-dimensional Riemannian structures.

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