Semi-contractions des espaces localement compacts et cas des variétés complexes

Jean-Jacques Loeb

Annales de la faculté des sciences de Toulouse Mathématiques (2013)

  • Volume: 22, Issue: 3, page 559-572
  • ISSN: 0240-2963

Abstract

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Inspired by papers of Beardon, we give results for fixed points and orbits of contractions and semi-contractions of locally compact connected spaces. More precise results are obtained for the case of complex Kobayashi hyperbolic manifolds.

How to cite

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Loeb, Jean-Jacques. "Semi-contractions des espaces localement compacts et cas des variétés complexes." Annales de la faculté des sciences de Toulouse Mathématiques 22.3 (2013): 559-572. <http://eudml.org/doc/275305>.

@article{Loeb2013,
abstract = {En nous inspirant d’articles de Beardon, nous donnons des résultats concernant les points fixes et les orbites d’auto-applications contractantes et semi-contractantes des espaces connexes localement compacts. Des résultats plus précis sont obtenus dans le cas des variétés complexes Kobayashi hyperboliques.},
author = {Loeb, Jean-Jacques},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {fixed point; periodic point; contraction mapping; nonexpansive mapping; complex Kobayashi hyperbolic manifold},
language = {fre},
month = {6},
number = {3},
pages = {559-572},
publisher = {Université Paul Sabatier, Toulouse},
title = {Semi-contractions des espaces localement compacts et cas des variétés complexes},
url = {http://eudml.org/doc/275305},
volume = {22},
year = {2013},
}

TY - JOUR
AU - Loeb, Jean-Jacques
TI - Semi-contractions des espaces localement compacts et cas des variétés complexes
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2013/6//
PB - Université Paul Sabatier, Toulouse
VL - 22
IS - 3
SP - 559
EP - 572
AB - En nous inspirant d’articles de Beardon, nous donnons des résultats concernant les points fixes et les orbites d’auto-applications contractantes et semi-contractantes des espaces connexes localement compacts. Des résultats plus précis sont obtenus dans le cas des variétés complexes Kobayashi hyperboliques.
LA - fre
KW - fixed point; periodic point; contraction mapping; nonexpansive mapping; complex Kobayashi hyperbolic manifold
UR - http://eudml.org/doc/275305
ER -

References

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  11. Loeb (J.-J.).— On complex automorphisms and holomorphic equivalence of domains, Symmetries in complex analysis, p. 125-156, Contemp. Math., 468, Amer. Math. Soc., Providence, RI (2008). Zbl1156.32011MR2484094
  12. Loeb (J.-J.), Vigué (J.-P.).— Sur les automorphismes analytiques des variétés hyperboliques, Bull. Sci. Math. 131, no. 5, p. 469-476 (2007). Zbl1198.32011MR2337737
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