On the global stable manifold

• Autorzy: Alberto Abbondandolo , Pietro Majer
• Języki publikacji: EN

Abstrakty

EN

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 Banach setting gives rise to subtle questions about the possibility of extending germs of diffeomorphisms.

Kategorie tematyczne

• 37D10: Invariant manifold theory
• 46B20: Geometry and structure of normed linear spaces
• 58B10: Differentiability questions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 2
• Strony: 113-131

Daty

wydano

2006

Twórcy

autor

Alberto Abbondandolo

• Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy

autor

Pietro Majer

• Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy

Identyfikatory

DOI

10.4064/sm177-2-2