Geodesic Equations on Diffeomorphism Groups

Details Geodesic Equations on Diffeomorphism Groups Geodesic Equations on Diffeomorphism Groups

2008-03-11

arxiv.org/abs/0803.1678v1

SIGMA 4 (2008), 030, 22 pages

Mathematics

Differential Geometry

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.030

We bring together those systems of hydrodynamical type that can be written as geodesic equations on diffeomorphism groups or on extensions of diffeomorphism groups with right invariant $L^2$ or $H^1$ metrics. We present their formal derivation starting from Euler's equation, the first order equation satisfied by the right logarithmic derivative of a geodesic in Lie groups with right invariant metrics.

Affiliated with

Also associated with

No associations

Rating

Geodesic Equations on Diffeomorphism Groups 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 Geodesic Equations on Diffeomorphism Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geodesic Equations on Diffeomorphism Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369032