Lagrangian Mechanics on Lie Algebroids

By E. Martínez. 2001

226 citations recorded by the source corpus.

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5c18f316cdeea979ad76538f6975c508bb006671

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Statistical and Nonlinear Physics

1. C. Arcuş
2. Charles-Michel Marle
3. Manuel de León
4. Juan Carlos Marrero
5. E. Meinrenken
6. David Li-Bland

Citations in the corpus

• Calculus on Lie algebroids, Lie groupoids and Poisson manifolds (2008, background): “More specifically, Lie algebroids have applications in mechanics [53, 31, 15, 39] and provide a very natural setting in which one can develop the theory of differential operators such as the exterior derivative of forms and the Lie derivative with respect to a vector field.”
• Algebraic Constructions in the Category of Lie Algebroids (2011, methodology): “(see [6, 8, 9, 10]) Using this general framework, in Section 4, we propose and develop a (linear) connections theory of Ehresmann type for fiber bundles in general and for vector bundles in particular.”
• Lagrangian submanifolds and dynamics on Lie algebroids (2004, methodology): “This task was finally done by E. Mart´onez [ 18 ] (see also [3, 6, 19, 20]).”
• Lie Brackets on Affine Bundles (2002, unknown): “D”