Quasi-isometric embeddings into diffeomorphism groups
Michael Brandenbursky
Vanderbilt University, Nashville, USAJarosław Kędra
University of Aberdeen, UK
![Quasi-isometric embeddings into diffeomorphism groups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-7-issue-3.png&w=3840&q=90)
Abstract
Let be a smooth compact connected oriented manifold of dimension at least two endowed with a volume form. Assuming certain conditions on the fundamental group we construct quasi-isometric embeddings of either free Abelian or direct products of non-Abelian free groups into the group of volume preserving diffeomorphisms of equipped with the metric induced by a Riemannian metric on .
Cite this article
Michael Brandenbursky, Jarosław Kędra, Quasi-isometric embeddings into diffeomorphism groups. Groups Geom. Dyn. 7 (2013), no. 3, pp. 523–534
DOI 10.4171/GGD/194