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math-phSep 15, 2014
13
citations (OpenAlex)
authors
  • Paul Popescu
institutions
  • University of Craiova
arXiv abstractPDF
paper

Poisson structures on almost complex Lie algebroids

arXiv:1409.4241 · doi:10.1142/S0219887814500698

Abstract

In this paper we extend the almost complex Poisson structures from almost complex manifolds to almost complex Lie algebroids. Examples of such structures are also given and the almost complex Poisson morphisms of almost complex Lie algebroids are studied.

21 pages. arXiv admin note: text overlap with arXiv:1311.2475

References in corpus (13)

  • Lie algebroids and Poisson-Nijenhuis structures
  • Banach Lie-Poisson spaces and reduction
  • Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
  • Classical field theory on Lie algebroids: Variational aspects
  • Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions
  • Almost Lie structures on an anchored Banach bundle
  • Integration of Holomorphic Lie Algebroids
  • Coupling Poisson and Jacobi structures on foliated manifolds
  • Cohomology of skew-holomorphic Lie algebroids
  • Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
  • Holomorphic Koszul-Brylinski Homology
  • Hamiltonian structures on foliations
  • On almost complex Lie algebroids

Cited by in corpus (4)

  • Almost Lie Algebroids and Characteristic Classes
  • Contact structures on Lie algebroids
  • On almost complex Lie algebroids
  • On contact and symplectic Lie algebroids
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