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- W2953014248 abstract "A generalized Courant algebroid structure is defined on the direct sum bundle D(E) +J(E), where D(E) and J(E) are the gauge Lie algebroid and the jet bundle of a vector bundle E respectively. Such a structure is called an omni-Lie algebroid since it is reduced to the omni-Lie algebra introduced by A.Weinstein if the base manifold is a point. We prove that any Lie algebroid structure on E is characterized by a Dirac structure as the graph of a bundle map from J(E) to D(E)." @default.
- W2953014248 created "2019-06-27" @default.
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- W2953014248 date "2007-10-10" @default.
- W2953014248 modified "2023-09-27" @default.
- W2953014248 title "Omni-Lie algebroids" @default.
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