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. 523–534DOI 10.4171/GGD/194