Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry

DOI10.1016/j.crma.2012.06.009zbMath1257.53054arXiv1205.2753OpenAlexW3023035737MaRDI QIDQ447892

Jaap Eldering

Publication date: 30 August 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2753

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Invariant manifold theory for dynamical systems (37D10)

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Sobolev embeddings with weights in complete Riemannian manifolds ⋮ Pullback functors for reduced and unreduced \(L^{q,p}\)-cohomology ⋮ Some variational principles for the metric mean dimension of a semigroup action ⋮ Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry ⋮ Geometric integrators for higher-order variational systems and their application to optimal control ⋮ Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry ⋮ Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry ⋮ Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry ⋮ Uniform homotopy invariance of Roe index of the signature operator

Cites Work

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• Invariant manifolds