Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups

Details Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups

2005-04-27

arxiv.org/abs/math/0504556v1

J. Math. Fluid Mech., vol. 7 (2005), S365-S375

Mathematics

Differential Geometry

10 pages, 1 fig., to appear in J. of Math. Fluid Mechanics

Scientific paper

In this note we obtain the characterization for asymptotic directions on
various subgroups of the diffeomorphism group. We give a simple proof of
non-existence of such directions for area-preserving diffeomorphisms of closed
surfaces of non-zero curvature. Finally, we exhibit the common origin of the
Monge-Ampere equations in 2D fluid dynamics and mass transport.

Affiliated with

Also associated with

No associations

Rating

Asymptotic directions, Monge-Ampere equations and the geometry of 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 Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-715527