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arXiv · 1205.2753

Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry

Jaap Eldering
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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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Jaap Eldering. 2012-05-12. Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry. https://doi.org/10.1016/j.crma.2012.06.009

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