2006Studia MathematicaOpen access

On the global stable manifold

Alberto Abbondandolo, Pietro Majer

Open full text 16 citations

Abstract

We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Ba

Open-access reader

About this research paper

What this paper is about

We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Ba

Why it matters

OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Ba

Key concepts: Mathematics, Diffeomorphism, Manifold (fluid mechanics), Closed manifold, Invariant manifold, Pseudo-Riemannian manifold, Pure mathematics, Class (philosophy)

Related papers

Back to paper searchBrowse research topicsOriginal source
On the global stable manifold — Research Paper | ScholarLens