Higher omni-Lie algebroids

Abstract

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.

arXiv comment21pages,no figures,published version

References in corpus (12)

• Generalized Lie bialgebroids and Jacobi structures
• Lie algebroid structures on double vector bundles and representation theory of Lie algebroids
• Contact manifolds and generalized complex structures
• Conformal Dirac Structures
• Double Lie algebroids and the double of a Lie bialgebroid
• A Paradigm for Spreadsheet Engineering Methodologies
• Generalized Contact Bundles
• Integration of Dirac-Jacobi structures
• On higher Dirac structures
• Omni-Lie Algebras
• The Local Structure of Generalized Contact Bundles
• Omni $n$-Lie algebras and linearization of higher analogues of Courant algebroids