A subgroup G⊂Diff+1([0,1]) is C1-close to the identity if there is a sequence hn∈Diff+1([0,1]) such that the conjugates hnghn−1 tend to the identity for the C1-topology, for every g∈G. This is equivalent to the fact that G can be embedded in the C1-centralizer of a C1-contraction of [0,+∞) (see [6] and Theorem 1.1).
Christian Bonatti; Églantine Farinelli. Centralizers of $C^1$-contractions of the half line. Groups, geometry, and dynamics, Tome 9 (2015) no. 3, pp. 831-889. doi: 10.4171/ggd/330
@article{10_4171_ggd_330,
author = {Christian Bonatti and \'Eglantine Farinelli},
title = {Centralizers of $C^1$-contractions of the half line},
journal = {Groups, geometry, and dynamics},
pages = {831--889},
year = {2015},
volume = {9},
number = {3},
doi = {10.4171/ggd/330},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/330/}
}
TY - JOUR
AU - Christian Bonatti
AU - Églantine Farinelli
TI - Centralizers of $C^1$-contractions of the half line
JO - Groups, geometry, and dynamics
PY - 2015
SP - 831
EP - 889
VL - 9
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/330/
DO - 10.4171/ggd/330
ID - 10_4171_ggd_330
ER -
%0 Journal Article
%A Christian Bonatti
%A Églantine Farinelli
%T Centralizers of $C^1$-contractions of the half line
%J Groups, geometry, and dynamics
%D 2015
%P 831-889
%V 9
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/330/
%R 10.4171/ggd/330
%F 10_4171_ggd_330
