Quasi-isometric embeddings into diffeomorphism groups

Michael Brandenbursky, Jarek Kedra

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Let M be a smooth compact connected oriented manifold of dimension at least two endowed with a volume form. Assuming certain conditions on the fundamental group π1(M) 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 M equipped with the Lp metric induced by a Riemannian metric on M.
Original languageEnglish
Pages (from-to)523-534
Number of pages12
JournalGroups, Geometry and Dynamics
Volume7
Issue number3
Early online date27 Aug 2013
DOIs
Publication statusPublished - 2013

Fingerprint

Diffeomorphism Group
Isometric Embedding
Direct Product
Riemannian Metric
Diffeomorphisms
Free Group
Fundamental Group
Metric
Form

Keywords

  • quasi-isometric embeddings
  • distortion
  • groups of diffeomorphisms
  • lp-metrics

Cite this

Quasi-isometric embeddings into diffeomorphism groups. / Brandenbursky, Michael; Kedra, Jarek.

In: Groups, Geometry and Dynamics, Vol. 7, No. 3, 2013, p. 523-534.

Research output: Contribution to journalArticle

Brandenbursky, Michael ; Kedra, Jarek. / Quasi-isometric embeddings into diffeomorphism groups. In: Groups, Geometry and Dynamics. 2013 ; Vol. 7, No. 3. pp. 523-534.
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