AV-Courant Algebroids and Generalized CR Structures

Li-Bland, David

Canadian journal of mathematics, Tome 63 (2011) no. 4, pp. 938-960

Résumé

We construct a generalization of Courant algebroids that are classified by the third cohomology group ${{H}^{3}}(A,\,V)$ , where $A$ is a Lie Algebroid, and $V$ is an $A$ -module. We see that both Courant algebroids and ${{\text{ }\!\!\varepsilon\!\!\text{ }}^{1}}(M)$ structures are examples of them. Finally we introduce generalized $\text{CR}$ structures on a manifold, which are a generalization of generalized complex structures, and show that every $\text{CR}$ structure and contact structure is an example of a generalized $\text{CR}$ structure.

Détail

DOI : 10.4153/CJM-2011-009-1

Mots-clés : 53D18

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