AV-differential geometry: Euler-Lagrange equations

Details AV-differential geometry: Euler-Lagrange equations AV-differential geometry: Euler-Lagrange equations

2006-04-06

arxiv.org/abs/math/0604130v1

J. Geom. Phys. 57 (2007), 1984-1998

Mathematics

Differential Geometry

20 pages

Scientific paper

10.1016/j.geomphys.2007.04.003

A general, consistent and complete framework for geometrical formulation of mechanical systems is proposed, based on certain structures on affine bundles (affgebroids) that generalize Lie algebras and Lie algebroids. This scheme covers and unifies various geometrical approaches to mechanics in the Lagrangian and Hamiltonian pictures, including time-dependent lagrangians and hamiltonians. In our approach, lagrangians and hamiltonians are, in general, sections of certain $\R$-principal bundles, and the solutions of analogs of Euler-Lagrange equations are curves in certain affine bundles. The correct geometrical and frame-independent description of Newtonian Mechanics is of this type.

Affiliated with

Also associated with

No associations

Rating

AV-differential geometry: Euler-Lagrange equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with AV-differential geometry: Euler-Lagrange equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and AV-differential geometry: Euler-Lagrange equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-721317