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- Title
Infinite families of homogeneous Bismut Ricci flat manifolds.
- Authors
Podestà, Fabio; Raffero, Alberto
- 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.
- Subjects
SYMMETRIC spaces; COMPACT groups; LIE groups; COMPACT spaces (Topology); ENGINEERING standards; HOMOGENEOUS spaces; SUBMANIFOLDS
- Publication
Communications in Contemporary Mathematics, 2024, Vol 26, Issue 2, p1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199722500754