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Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry

Published 12 May 2012 in math.DS and math.DG | (1205.2753v1)

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.

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