Bn-generalized pseudo-Kahler structures
Abstract
We define the notions of Bn-generalized pseudo-Hermitian and Bn-generalized pseudo-Kahler structures on an odd exact Courant algebroid E. When E is in the standard form (or of type Bn) 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 Bn-generalized pseudo-Kahler structures on Courant algebroids of type Bn over Lie groups of dimension two, three and four.
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