论文标题

b_n拟南期伪卡勒结构

B_n-generalized pseudo-Kahler structures

论文作者

Cortés, Vicente, David, Liana

论文摘要

我们在一个奇怪的courant algebroid e上定义了B_N征收伪 - 甲米和B_n征收伪卡勒的结构。代数。我们描述了B_N类型的B_N的左b_n伪造伪卡勒结构,而二,三和四的谎言组上的谎言组。

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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