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Pseudo-Riemannian almost hypercomplex homogeneous spaces with irreducible isotropy

Research paper by Vicente Cortés, Benedict Meinke

Indexed on: 21 Jun '16Published on: 21 Jun '16Published in: Mathematics - Differential Geometry



Abstract

We classify homogeneous pseudo-Riemannian manifolds of index 4 which admit an invariant almost hyper-Hermitian structure and an H-irreducible isotropy group. The main result is that all these spaces are flat except in dimension 12.

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