On donne des conditions suffisantes pour que deux difféomorphismes, qui sont égaux sur une même variété invariante et dont les dérivées dans la direction normale sont aussi égales, soit conjugués ; on obtient en plus que l’homéomorphisme conjuguant satisfait des inégalités supplémentaires. Ces inégalités, qui impliquent l’existence de la dérivée normale de le long de , servent à étendre cette conjugaison dans des régions où il y a des modules de stabilité.
We give sufficient conditions for the conjugacy of two diffeomorphisms coinciding on a common invariant submanifold V and with equal normal derivative; moreover we obtain that the homeomorphism h realizing this conjugacy satisfies additional inequalities. These inequalities, implying also the existence of the normal derivative of h along V, serve to extend this conjugacy towards regions where moduli of stability are present.
@article{AIF_1990__40_1_213_0,
author = {Bonckaert, Patrick},
title = {Conjugacy of normally tangent diffeomorphisms : a tool for treating moduli of stability},
journal = {Annales de l'Institut Fourier},
volume = {40},
year = {1990},
pages = {213-236},
doi = {10.5802/aif.1211},
mrnumber = {91e:58086},
zbl = {0681.58022},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1990__40_1_213_0}
}
Bonckaert, Patrick. Conjugacy of normally tangent diffeomorphisms : a tool for treating moduli of stability. Annales de l'Institut Fourier, Tome 40 (1990) pp. 213-236. doi : 10.5802/aif.1211. http://gdmltest.u-ga.fr/item/AIF_1990__40_1_213_0/
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