Dirac and Generalized Complex Structures on Cartan Geometries

Honglei Lang; Xiaomeng Xu

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arXiv · 1204.5951

Dirac and Generalized Complex Structures on Cartan Geometries

Honglei Lang·Xiaomeng Xu

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Abstract

We introduce linear Dirac and generalized complex structures on Cartan geometries and give criteria for Dirac subalgebras of $\frkg\ltimes\frkg^*$ representing Dirac structures on a Cartan geometry. We prove that there is a bijection between the linear generalized structures on a torsion free Cartan geometry and the equivariant generalized structures on its corresponding homogeneous space.

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Honglei Lang, Xiaomeng Xu. 2012-06-24. Dirac and Generalized Complex Structures on Cartan Geometries. https://arxiv.org/abs/1204.5951

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