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arXiv · 1701.04336

Pseudo-Riemannian almost quaternionic homogeneous spaces with irreducible isotropy

Vicente Cortés·Benedict Meinke
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Abstract

We show that pseudo-Riemannian almost quaternionic homogeneous spaces with index 4 and an H-irreducible isotropy group are locally isometric to a pseudo-Riemannian quaternionic Kähler symmetric space if the dimension is at least 16. In dimension 12 we give a non-symmetric example.

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Vicente Cortés, Benedict Meinke. 2017-01-16. Pseudo-Riemannian almost quaternionic homogeneous spaces with irreducible isotropy. https://arxiv.org/abs/1701.04336

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