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arXiv · 2206.10456

B_n-generalized pseudo-Kahler structures

Vicente Cortés·Liana David
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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.

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Vicente Cortés, Liana David. 2022-06-21. B_n-generalized pseudo-Kahler structures. https://arxiv.org/abs/2206.10456

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