Quasi-isometric embeddings into diffeomorphism groups

Michael Brandenbursky; Jarek Kȩdra

doi:10.4171/GGD/194

Quasi-isometric embeddings into diffeomorphism groups

Michael Brandenbursky, Jarek Kȩdra

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 ofM equipped with the L^p metric induced by a Riemannian metric on M.

Original language	English
Pages (from-to)	523-534
Number of pages	12
Journal	Groups, Geometry, and Dynamics
Volume	7
Issue number	3
DOIs	https://doi.org/10.4171/GGD/194
State	Published - 25 Oct 2013
Externally published	Yes

Keywords

Distortion
Groups of diffeomorphisms
L-metrics
Quasi-isometric embeddings

ASJC Scopus subject areas

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/194

Cite this

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AU - Kȩdra, Jarek

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AB - 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 ofM equipped with the Lp metric induced by a Riemannian metric on M.

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KW - Groups of diffeomorphisms

KW - L-metrics

KW - Quasi-isometric embeddings

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Quasi-isometric embeddings into diffeomorphism groups

Abstract

Keywords

ASJC Scopus subject areas

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