Nous démontrons un résultat de persistance pour les variétés invariantes normalement hyperboliques non-compactes dans une variété riemannienne de géométrie bornée. Il est crucial dʼassumer que la variété ambiante est de géométrie bornée pour contrôler lʼuniformité des estimations tout au long de la preuve.
We prove a persistence result for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. The bounded geometry of the ambient manifold is a crucial assumption in order to control the uniformity of all estimates throughout the proof.
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@article{CRMATH_2012__350_11-12_617_0, author = {Eldering, Jaap}, title = {Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry}, journal = {Comptes Rendus. Math\'ematique}, pages = {617--620}, publisher = {Elsevier}, volume = {350}, number = {11-12}, year = {2012}, doi = {10.1016/j.crma.2012.06.009}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.06.009/} }
TY - JOUR AU - Eldering, Jaap TI - Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry JO - Comptes Rendus. Mathématique PY - 2012 SP - 617 EP - 620 VL - 350 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.06.009/ DO - 10.1016/j.crma.2012.06.009 LA - en ID - CRMATH_2012__350_11-12_617_0 ER -
%0 Journal Article %A Eldering, Jaap %T Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry %J Comptes Rendus. Mathématique %D 2012 %P 617-620 %V 350 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.06.009/ %R 10.1016/j.crma.2012.06.009 %G en %F CRMATH_2012__350_11-12_617_0
Eldering, Jaap. Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry. Comptes Rendus. Mathématique, Tome 350 (2012) no. 11-12, pp. 617-620. doi : 10.1016/j.crma.2012.06.009. http://archive.numdam.org/articles/10.1016/j.crma.2012.06.009/
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