Quasi-morphisms and L^p-metrics on groups of volume-preserving diffeomorphisms

Details Quasi-morphisms and L^p-metrics on groups of volume-preserving diffeomorphisms Quasi-morphisms and L^p-metrics on groups of volume-preserving diffeomorphisms

2011-10-14

arxiv.org/abs/1110.3353v1

Mathematics

Geometric Topology

17 pages; 1 figure

Scientific paper

Let M be a smooth compact connected oriented manifold of dimension at least two endowed with a volume form. We show that every homogeneous quasi-morphism on the identity component $Diff_0(M,vol)$ of the group of volume preserving diffeomorphisms of M, which is induced by a quasi-morphism on the fundamental group, is Lipschitz with respect to the L^p-metric on the group $Diff_0(M,vol)$. As a consequence, assuming certain conditions on the fundamental group, we construct bi-Lipschitz embeddings of finite dimensional vector spaces into $Diff_0(M,vol)$.

Affiliated with

Also associated with

No associations

Rating

Quasi-morphisms and L^p-metrics on groups of volume-preserving 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 Quasi-morphisms and L^p-metrics on groups of volume-preserving diffeomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-morphisms and L^p-metrics on groups of volume-preserving diffeomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687278