Geodesic
Higher Omni-Lie Algebroids
Yanhui Bi1 ; Luca Vitagliano2 ; Tao Zhang3
1College Math. Inform. Science, Nanchang Hangkong University, Nanchang 330063, P. R. China
2Dip. di Matematica, Univ. degli Studi di Salerno, 84084 Fisciano, Italy
3College Math. Inform. Science, Henan Normal University, Xinxiang 453007, P. R. China
Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 881-899

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Yanhui Bi  1   ; Luca Vitagliano  2   ; Tao Zhang  3

1 College Math. Inform. Science, Nanchang Hangkong University, Nanchang 330063, P. R. China
2 Dip. di Matematica, Univ. degli Studi di Salerno, 84084 Fisciano, Italy
3 College Math. Inform. Science, Henan Normal University, Xinxiang 453007, P. R. China 
Yanhui Bi; Luca Vitagliano; Tao Zhang. Higher Omni-Lie Algebroids. Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 881-899. http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a11/
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     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/JOLT_2019_29_3_a11/}
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