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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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 1073-7928 1687-0247 |
| DOI: | 10.1093/imrn/rnq053 |