The inverse problem for invariant Lagrangians on a Lie group

Details The inverse problem for invariant Lagrangians on a Lie group The inverse problem for invariant Lagrangians on a Lie group

2008-01-30

arxiv.org/abs/0801.4735v1

Journal of Lie Theory 18 (2008), 471-502.

Mathematics

Differential Geometry

31 pages

Scientific paper

We discuss the problem of the existence of a regular invariant Lagrangian for a given system of invariant second-order differential equations on a Lie group $G$, using approaches based on the Helmholtz conditions. Although we deal with the problem directly on $TG$, our main result relies on a reduction of the system on $TG$ to a system on the Lie algebra of $G$. We conclude with some illustrative examples.

Affiliated with

Also associated with

No associations

Rating

The inverse problem for invariant Lagrangians on a Lie group 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 The inverse problem for invariant Lagrangians on a Lie group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The inverse problem for invariant Lagrangians on a Lie group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122337