The generalized Lie algebroids and their applications

Abstract

In this paper we introduce the notion of generalized Lie algebroid and we develop a new formalism necessary to obtain a new solution for the Weistein's Problem. Many applications emphasize the importance and the utility of this new framework determined by the introduction of generalized Lie algebroids.

206 pages

References in corpus (3)

• Lie algebroids and Poisson-Nijenhuis structures
• Clifford-Finsler Algebroids and Nonholonomic Einstein-Dirac Structures
• Nonholonomic Deformations of Disk Solutions and Algebroid Symmetries in Einstein and Extra Dimension Gravity

Cited by in corpus (7)

• Weyl's Theory in the Generalized Lie Algebroids Framework
• Exterior differential calculus in generalized Lie algebras(algebroids) category with applications to interior and exterior algebraic(differential) systems
• Algebraic constructions in the category of vector bundles
• Remarks on generalized Lie algebroids and related concepts
• Vertical and complete lifts of sections of a (dual) vector bundle and Legendre duality
• Algebraic Constructions in the Category of Lie Algebroids
• (Pseudo)Generalized Kaluza-Klein G-Spaces and Einstein Equations