English

Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry

Dynamical Systems 2012-08-07 v1 Differential 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.

Keywords

Cite

@article{arxiv.1205.2753,
  title  = {Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry},
  author = {Jaap Eldering},
  journal= {arXiv preprint arXiv:1205.2753},
  year   = {2012}
}

Comments

4 pages, announcement article for results in arXiv:1204.1310