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Higher omni-Lie algebroids

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arxiv 1812.09496 v3 pith:DPGPMMSF submitted 2018-12-22 math.DG

Yanhui Bi , Luca Vitagliano , Tao Zhang This is my paper · ORCID
classification math.DG
keywords higheromni-liealgebroidgeometriesmultirelatedalgebroidsbundle
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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.

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  1. On Homogeneous K\"ahler Manifolds

    math.DG 2026-08 conditional novelty 6.0 of 10

    Homogeneous Kähler structures on principal R^×-bundles reduce to Sasakian structures exactly when the Euler vector field is pre-geodesic and the line bundle is oriented, and the same dictionary covers co-Kähler struct...

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