Higher Omni-Lie Algebroids
Journal of Lie theory, Tome 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.
Classification :
17B66, 53D18
Mots-clés : Vector bundle form, higher omni-Lie algebroid, Dirac structure, generalized geometry
Mots-clés : Vector bundle form, higher omni-Lie algebroid, Dirac structure, generalized geometry
@article{JLT_2019_29_3_JLT_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},
url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a11/}
}
Y. Bi; L. Vitagliano; T. Zhang. Higher Omni-Lie Algebroids. Journal of Lie theory, Tome 29 (2019) no. 3, pp. 881-899. http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a11/