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math.DGJan 25, 2017
1
citations (OpenAlex)
authors
  • Katarzyna Grabowska
  • Janusz Grabowski
institutions
  • Institute of Mathematics
  • Polish Academy of Sciences
  • University of Warsaw
arXiv abstractPDF
paper

Remarks on generalized Lie algebroids and related concepts

arXiv:1701.07233 · doi:10.1063/1.4975703

Abstract

We prove that "generalized Lie algebroid", a geometric object which appeared recently in the literature, is a misconception.

9 pages

References in corpus (8)

  • Lie Algebroids in Classical Mechanics and Optimal Control
  • Brackets
  • The generalized Lie algebroids and their applications
  • Weyl's Theory in the Generalized Lie Algebroids Framework
  • Lagrangian Mechanics on Generalized Lie Algebroids
  • Hamiltonian Mechanics on Duals of Generalized Lie Algebroids
  • Exterior differential calculus in generalized Lie algebras(algebroids) category with applications to interior and exterior algebraic(differential) systems
  • Intersection between the geometry of generalized Lie algebroids and some aspects of interior and exterior differential systems
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