Journal of Lie Theory

no. 3
Higher Omni-Lie Algebroids
Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 881-899
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.
DOI: 10.5802/jolt.1082
Classification: 17B66, 53D18
Keywords: Vector bundle form, higher omni-Lie algebroid, Dirac structure, generalized geometry 
@article{JOLT_2019_29_3_a11,
     author = {Y. Bi and L. Vitagliano and T. Zhang},
     title = {Higher {Omni-Lie} {Algebroids}},
     journal = {Journal of Lie Theory},
     pages = {881--899},
     year = {2019},
     volume = {29},
     number = {3},
     doi = {10.5802/jolt.1082},
     zbl = {1446.17033},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1082/}
}
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Y. Bi; L. Vitagliano; T. Zhang. Higher Omni-Lie Algebroids. Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 881-899. doi: 10.5802/jolt.1082

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