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math.DG2008★ 12 cited
E-Courant algebroids
Zhuo Chen, Zhangju Liu, Yunhe Sheng
In this paper, we introduce the notion of -Courant algebroids, where is a vector bundle. It is a kind of generalized Courant algebroid and contains Courant algebroids, Coura…
math.DG2008★ 8 cited
Dirac structures of omni-Lie algebroids
Zhuo Chen, Zhangju Liu, Yunhe Sheng
Omni-Lie algebroids are generalizations of Alan Weinstein's omni-Lie algebras. A Dirac structure in an omni-Lie algebroid $\dev E\oplus \jet E$ is necessarily a Lie algebroid toget…