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arXiv · 2205.12690

Infinite families of homogeneous Bismut Ricci flat manifolds

Fabio Podestà·Alberto Raffero
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Abstract

Starting from compact symmetric spaces of inner type, we provide infinite families of compact homogeneous spaces carrying invariant non-flat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized symmetric spaces of order $4$ and (up to coverings) can be realized as minimal submanifolds of the Bismut flat model spaces, namely compact Lie groups. This construction generalizes the standard Cartan embedding of symmetric spaces.

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Fabio Podestà, Alberto Raffero. 2022-05-25. Infinite families of homogeneous Bismut Ricci flat manifolds. https://doi.org/10.1142/s0219199722500754

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