On non-Uniqueness of Complex Geodesies in Convex Bounded Domains

Graziano Gentili

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1985)

  • Volume: 79, Issue: 5, page 90-97
  • ISSN: 1120-6330

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Gentili, Graziano. "On non-Uniqueness of Complex Geodesies in Convex Bounded Domains." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 79.5 (1985): 90-97. <http://eudml.org/doc/287490>.

@article{Gentili1985,
author = {Gentili, Graziano},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Kobayashi pseudo-distance; ``complex convex combinations; holomorhic maps; non uniqueness of the complete geodesics},
language = {eng},
month = {11},
number = {5},
pages = {90-97},
publisher = {Accademia Nazionale dei Lincei},
title = {On non-Uniqueness of Complex Geodesies in Convex Bounded Domains},
url = {http://eudml.org/doc/287490},
volume = {79},
year = {1985},
}

TY - JOUR
AU - Gentili, Graziano
TI - On non-Uniqueness of Complex Geodesies in Convex Bounded Domains
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1985/11//
PB - Accademia Nazionale dei Lincei
VL - 79
IS - 5
SP - 90
EP - 97
LA - eng
KW - Kobayashi pseudo-distance; ``complex convex combinations; holomorhic maps; non uniqueness of the complete geodesics
UR - http://eudml.org/doc/287490
ER -

References

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  1. DINEEN, S., TIMONEY, R.M. and VIGUÉ, J.-P. - Pseudodistances Invariantes sur les Domains d'un Espace Localement Convexe, to appear. Zbl0603.46052
  2. FRANZONI, T. and VESENTINI, E. (1980) - Holomorphic Maps and Invariant Distances, North Holland, Amsterdam. Zbl0447.46040MR563329
  3. GENTILI, G. - On Complex Geodesies of Balanced Convex Domains, «Annali di Mat. Pura e Appl.», to appear. Zbl0619.32015MR870872DOI10.1007/BF01760814
  4. HOFFMAN, K. (1962) - Banach Spaces of Analytic Functions, Prentice-Hall, Inc.Englewood Cliffs, N.J. Zbl0117.34001MR133008
  5. LEMPERT, L. (1981) - La Métrique de Kobayashi et la Représentation des Domaines sur la Boule, «Bull. Soc. Math. France», 109, 427-474. Zbl0492.32025MR660145
  6. ROYDEN, H. and WONG, P.M. - Carathéodory and Kobayashi Metric on Convex Domains, to appear. 
  7. RUDIN, W. (1972) - Functional Analysis, McGraw-Hill. Zbl0253.46001MR1157815
  8. VESENTINI, E. (1979) - Variations on a Theme of Carathéodory, «Ann. Scuola Norm. Sup. Pisa», 7, 39-68. Zbl0413.46039MR529475
  9. VESENTINI, E. (1981) - Complex Geodesies, «Compositio Mathematica», 44, 375-394. Zbl0488.30015MR662466
  10. VESENTINI, E. (1982) - Invariant Distances and Invariant Differential Metrics in Locally Convex Spaces, «Proc. Stefan Banach International Mathematical Center», 8, 493-512. Zbl0505.32020MR738313
  11. VESENTINI, E. (1982) - Complex Geodesies and Holomorphic Maps, «Symposia Mathematica», 26, 211-230. Zbl0506.32008MR663034
  12. VIGUÉ, J.-P. (1984) - Caractérisation des Automorphismes Analytiques d'un Domain Convexe Borné, «C.R. Acad. Sc. Paris», 299, 101-105. Zbl0589.32042
  13. VIGUÉ, J.-P. (1984) - Geodesiques Complexes et Points Fixes d'Applications Holomorphes, «Adv. in Math.», 52, 241-247. Zbl0555.32015MR744858DOI10.1016/0001-8708(84)90023-9
  14. VIGUÉ, J.-P. - Points Fixes d'Applications Holomorphes dans un Domain Borné Convexe de n , «Trans. A.M.S.», to appear. Zbl0589.32043

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