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) they 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.

Infinite families of homogeneous Bismut Ricci flat manifolds

Alberto Raffero
2024-01-01

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) they 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.
2024
26
2
1
17
https://arxiv.org/pdf/2205.12690.pdf
Bismut connection; Ricci flat connection; homogeneous space
Fabio Podestà; Alberto Raffero
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1890774
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