Totally geodesic subgroups of diffeomorphisms

Details Totally geodesic subgroups of diffeomorphisms Totally geodesic subgroups of diffeomorphisms

2001-03-30

arxiv.org/abs/math/0103220v1

J. Geom. Phys. 42(2002), 342--354.

Mathematics

Differential Geometry

Scientific paper

10.1016/S0393-0440(01)00096-1

We determine the Riemannian manifolds for which the group of exact volume preserving diffeomorphisms is a totally geodesic subgroup of the group of volume preserving diffeomorphisms, considering right invariant $L^2$-metrics. The same is done for the subgroup of Hamiltonian diffeomorphisms as a subgroup of the group of symplectic diffeomorphisms in the K\"ahler case. These are special cases of totally geodesic subgroups of diffeomorphisms with Lie algebras big enough to detect the vanishing of a symmetric 2-tensor field.

Affiliated with

Also associated with

No associations

Rating

Totally geodesic subgroups of diffeomorphisms 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 Totally geodesic subgroups of diffeomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Totally geodesic subgroups of diffeomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-684242