B_n-generalized pseudo-Kahler structures
Differential Geometry
2022-06-22 v1
Abstract
We define the notions of B_n-generalized pseudo-Hermitian and B_n-generalized pseudo-Kahler structures on an odd exact Courant algebroid E. When E is in the standard form (or of type B_n) we express these notions in terms of classical tensor fields on the base of E. This is analogous to the bi-Hermitian viewpoint on generalized Kahler structures on exact Courant algebroids. We describe left-invariant B_n-generalized pseudo-Kahler structures on Courant algebroids of type B_n over Lie groups of dimension two, three and four.
Keywords
Cite
@article{arxiv.2206.10456,
title = {B_n-generalized pseudo-Kahler structures},
author = {Vicente Cortés and Liana David},
journal= {arXiv preprint arXiv:2206.10456},
year = {2022}
}
Comments
46 pages