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arXiv · 0805.4093

E-Courant algebroids

Zhuo Chen·Zhangju Liu·Yunhe Sheng
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Abstract

In this paper, we introduce the notion of $E$-Courant algebroids, where $E$ is a vector bundle. It is a kind of generalized Courant algebroid and contains Courant algebroids, Courant-Jacobi algebroids and omni-Lie algebroids as its special cases. We explore novel phenomena exhibited by $E$-Courant algebroids and provide many examples. We study the automorphism groups of omni-Lie algebroids and classify the isomorphism classes of exact $E$-Courant algebroids. In addition, we introduce the concepts of $E$-Lie bialgebroids and Manin triples.

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Zhuo Chen, Zhangju Liu, Yunhe Sheng. 2011-01-08. E-Courant algebroids. https://doi.org/10.1093/imrn%2Frnq053

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