Journal of Lie Theory 29 (2019), No. 3, 881--899
Copyright Heldermann Verlag 2019
Higher Omni-Lie Algebroids
Yanhui Bi
College Math. Inform. Science, Nanchang Hangkong University, Nanchang 330063, P. R. China
biyanhui0523@gmail.com
Luca Vitagliano
Dip. di Matematica, Univ. degli Studi di Salerno, 84084 Fisciano, Italy
lvitagliano@unisa.it
Tao Zhang
College Math. Inform. Science, Henan Normal University, Xinxiang 453007, P. R. China
zhangtao@htu.edu.cn
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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