Les métriques invariantes et la caractérisation des isomorphismes analytiques

Jean-Pierre Vigué

Banach Center Publications (1995)

  • Volume: 31, Issue: 1, page 373-382
  • ISSN: 0137-6934

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Vigué, Jean-Pierre. "Les métriques invariantes et la caractérisation des isomorphismes analytiques." Banach Center Publications 31.1 (1995): 373-382. <http://eudml.org/doc/262611>.

@article{Vigué1995,
author = {Vigué, Jean-Pierre},
journal = {Banach Center Publications},
keywords = {domains in ; analytic automorphisms; Carathéodory metric; Kobayashi metric; Banach space},
language = {fre},
number = {1},
pages = {373-382},
title = {Les métriques invariantes et la caractérisation des isomorphismes analytiques},
url = {http://eudml.org/doc/262611},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Vigué, Jean-Pierre
TI - Les métriques invariantes et la caractérisation des isomorphismes analytiques
JO - Banach Center Publications
PY - 1995
VL - 31
IS - 1
SP - 373
EP - 382
LA - fre
KW - domains in ; analytic automorphisms; Carathéodory metric; Kobayashi metric; Banach space
UR - http://eudml.org/doc/262611
ER -

References

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  1. [1] L. Belkhchicha, Caractérisation des isomorphismes analytiques de certains domaines bornés, C. R. Acad. Sci. Paris Sér. I Math. 313(1991), 281-284. Zbl0739.32026
  2. [2] H. Cartan, Sur les fonctions de plusieurs variables complexes : l'itération des transformations intérieures d'un domaine borné, Math. Z. 35 (1932), 760-773. Zbl0004.40602
  3. [3] S. Dineen, The Schwarz Lemma, Oxford Math. Monographs, Clarendon Press, Oxford, 1989. Zbl0708.46046
  4. [4] T. Franzoni and E. Vesentini, Holomorphic Maps and Invariant Distances, Math. Stud. 40, North-Holland, Amsterdam, 1980. Zbl0447.46040
  5. [5] I. Graham, Holomorphic mappings into strictly convex domains which are Kobayashi isometries at a point, Proc. Amer. Math. Soc. 105 (1989), 917-921. Zbl0709.32016
  6. [6] L. Harris, Schwarz-Pick systems of pseudometrics for domains in normed linear spaces, in: Advances in Holomorphy, Math. Stud. 34, North-Holland, Amsterdam, 1979, 345-406. 
  7. [7] L. Lempert, Holomorphic retracts and intrinsic metrics in convex domains, Anal. Math. 8 (1982), 257-261. Zbl0509.32015
  8. [8] H. Royden and P. Wong, Carathéodory and Kobayashi metrics on convex domains, preprint, 1983. 
  9. [9] C. Stanton, A characterization of the polydisc, Math. Ann. 264 (1983), 271-275. Zbl0501.32002
  10. [10] E. Vesentini, Complex geodesics, Compositio Math. 44 (1981), 375-394. Zbl0488.30015
  11. [11] E. Vesentini, %E. Vesentini, Complex geodesics and holomorphic mappings, Symposia Math. 26 (1982), 211-230. 
  12. [12] J.-P. Vigué, Caractérisation des automorphismes analytiques d'un domaine convexe borné, C. R. Acad. Sci. Paris Sér. I Math. 299 (1984), 101-104. Zbl0589.32042
  13. [13] J.-P. Vigué, Sur la caractérisation des automorphismes analytiques d'un domaine borné, Portugal. Math. 43 (1986), 439-453. Zbl0628.32040
  14. [14] J.-P. Vigué, Sur la caractérisation des isomorphismes analytiques entre domaines bornés d'un espace de Banach complexe, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 21 (1994), 145-155. 

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