Comptes Rendus
no. 11-12
Differential Geometry/Dynamical Systems
Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry

Presented by: the Editorial Board

Jaap Eldering1
1 Mathematical Institute, Utrecht University, Budapestlaan 6, 3584 CD Utrecht, The Netherlands
Comptes Rendus. Mathématique, Volume 350 (2012) no. 11-12, pp. 617-620.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2012.06.009

Jaap Eldering 1

1 Mathematical Institute, Utrecht University, Budapestlaan 6, 3584 CD Utrecht, The Netherlands 
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Jaap Eldering. Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry. Comptes Rendus. Mathématique, Volume 350 (2012) no. 11-12, pp. 617-620. doi : 10.1016/j.crma.2012.06.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.06.009/

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