Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry = Persistance des variétés invariantes normalement hyperboliques non-compactes dans la

Abstract

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. --------------------------------------------------------------------------------