Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry

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.

arXiv comment4 pages, announcement article for results in arXiv:1204.1310

References in corpus (1)

• Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry

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