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.
Classification :
57-XX, 20-XX
Mots-clés :
Groups of diffeomorphisms, Lp-metrics, quasi-isometric embeddings, distortion
Affiliations des auteurs :
Michael Brandenbursky
1
;
Jarosław Kędra
2
1
Vanderbilt University, Nashville, USA
2
University of Aberdeen, UK
Michael Brandenbursky; Jarosław Kędra. Quasi-isometric embeddings into diffeomorphism groups. Groups, geometry, and dynamics, Tome 7 (2013) no. 3, pp. 523-534. doi: 10.4171/ggd/194
@article{10_4171_ggd_194,
author = {Michael Brandenbursky and Jaros{\l}aw K\k{e}dra},
title = {Quasi-isometric embeddings into diffeomorphism groups},
journal = {Groups, geometry, and dynamics},
pages = {523--534},
year = {2013},
volume = {7},
number = {3},
doi = {10.4171/ggd/194},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/194/}
}
TY - JOUR
AU - Michael Brandenbursky
AU - Jarosław Kędra
TI - Quasi-isometric embeddings into diffeomorphism groups
JO - Groups, geometry, and dynamics
PY - 2013
SP - 523
EP - 534
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/194/
DO - 10.4171/ggd/194
ID - 10_4171_ggd_194
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%A Jarosław Kędra
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%J Groups, geometry, and dynamics
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%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/194/
%R 10.4171/ggd/194
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