Journal of Lie Theory 29 (2019), No. 3, 881--899
Copyright Heldermann Verlag 2019
Higher Omni-Lie Algebroids
College Math. Inform. Science, Nanchang Hangkong University, Nanchang 330063, P. R. China
Dip. di Matematica, Univ. degli Studi di Salerno, 84084 Fisciano, Italy
College Math. Inform. Science, Henan Normal University, Xinxiang 453007, P. R. China
We propose a definition of a "higher" version of the omni-Lie algebroid and study its isotropic and involutive subbundles. Our higher omni-Lie algebroid is to (multi)contact and related geometries what the higher generalized tangent bundle of Zambon and Bi/Sheng is to (multi)symplectic and related geometries.
Keywords: Vector bundle form, higher omni-Lie algebroid, Dirac structure, generalized geometry.
MSC: 17B66, 53D18
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