E-Courant Algebroids
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 algebro...
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| Veröffentlicht in: | International mathematics research notices 2010-01, Vol.2010 (22), p.4334-4376 |
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| container_title | International mathematics research notices |
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| creator | Chen, Zhuo Liu, Zhangju Sheng, Yunhe |
| description | 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. |
| doi_str_mv | 10.1093/imrn/rnq053 |
| format | Article |
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| identifier | ISSN: 1073-7928 |
| ispartof | International mathematics research notices, 2010-01, Vol.2010 (22), p.4334-4376 |
| issn | 1073-7928 1687-0247 |
| language | eng |
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| source | Oxford University Press Journals All Titles (1996-Current) |
| title | E-Courant Algebroids |
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