Continuum-wise expansive diffeomorphisms.

Kazuhiro Sakai

Publicacions Matemàtiques (1997)

  • Volume: 41, Issue: 2, page 375-382
  • ISSN: 0214-1493

Abstract

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In this paper, we show that the C1 interior of the set of all continuum-wise expansive diffeomorphisms of a closed manifold coincides with the C1 interior of the set of all expansive diffeomorphisms. And the C1 interior of the set of all continuum-wise fully expansive diffeomorphisms on a surface is investigated. Furthermore, we have necessary and sufficient conditions for a diffeomorphism belonging to these open sets to be Anosov.

How to cite

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Sakai, Kazuhiro. "Continuum-wise expansive diffeomorphisms.." Publicacions Matemàtiques 41.2 (1997): 375-382. <http://eudml.org/doc/41320>.

@article{Sakai1997,
abstract = {In this paper, we show that the C1 interior of the set of all continuum-wise expansive diffeomorphisms of a closed manifold coincides with the C1 interior of the set of all expansive diffeomorphisms. And the C1 interior of the set of all continuum-wise fully expansive diffeomorphisms on a surface is investigated. Furthermore, we have necessary and sufficient conditions for a diffeomorphism belonging to these open sets to be Anosov.},
author = {Sakai, Kazuhiro},
journal = {Publicacions Matemàtiques},
keywords = {Difeomorfismos; Variedad cerrada; Estabilidad; Sistemas dinámicos; Sistemas diferenciales; shadowing property; structural stability; quasi Anosov},
language = {eng},
number = {2},
pages = {375-382},
title = {Continuum-wise expansive diffeomorphisms.},
url = {http://eudml.org/doc/41320},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Sakai, Kazuhiro
TI - Continuum-wise expansive diffeomorphisms.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 2
SP - 375
EP - 382
AB - In this paper, we show that the C1 interior of the set of all continuum-wise expansive diffeomorphisms of a closed manifold coincides with the C1 interior of the set of all expansive diffeomorphisms. And the C1 interior of the set of all continuum-wise fully expansive diffeomorphisms on a surface is investigated. Furthermore, we have necessary and sufficient conditions for a diffeomorphism belonging to these open sets to be Anosov.
LA - eng
KW - Difeomorfismos; Variedad cerrada; Estabilidad; Sistemas dinámicos; Sistemas diferenciales; shadowing property; structural stability; quasi Anosov
UR - http://eudml.org/doc/41320
ER -

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