Complex geodesics

Edoardo Vesentini

Compositio Mathematica (1981)

  • Volume: 44, Issue: 1-3, page 375-394
  • ISSN: 0010-437X

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Vesentini, Edoardo. "Complex geodesics." Compositio Mathematica 44.1-3 (1981): 375-394. <http://eudml.org/doc/89521>.

@article{Vesentini1981,
author = {Vesentini, Edoardo},
journal = {Compositio Mathematica},
keywords = {complex geodesics; Caratheodory and Kobayashi invariant pseudo-distances; pseudo-metrics; affine maps},
language = {eng},
number = {1-3},
pages = {375-394},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Complex geodesics},
url = {http://eudml.org/doc/89521},
volume = {44},
year = {1981},
}

TY - JOUR
AU - Vesentini, Edoardo
TI - Complex geodesics
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 44
IS - 1-3
SP - 375
EP - 394
LA - eng
KW - complex geodesics; Caratheodory and Kobayashi invariant pseudo-distances; pseudo-metrics; affine maps
UR - http://eudml.org/doc/89521
ER -

References

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  1. [1] L.V. Ahlfors: Conformal invariants. Topics in geometric function theory, McGraw-Hill, New York, 1973. Zbl0272.30012MR357743
  2. [2] S. Banach: Théorie des opérations linéaires, Monografje Matematyczne, Warsaw, 1932. JFM58.0420.01
  3. [3] T. Franzoni and E. Vesentini: Holomorphic maps and invariant distances, North Holland, Amsterdam, 1980. Zbl0447.46040MR563329
  4. [4] G.M. Goluzin: Geometric theory of functions of a complex variable, Translations of Mathematical Monographs, vol. 26, Amer. Math. Soc., Providence, R.I., 1969. Zbl0183.07502MR247039
  5. [5] L.A. Harris: Schwarz's lemma in normed linear spaces, Proc. Nat. Acad. Sci. U.S.A., 62 (1969), 1014-1017. Zbl0199.19401MR275179
  6. [6] L.A. Harris: Schwarz-Pick systems of pseudometrics for domains in normed linear spaces, in "Advances in Holomorphy" (Editor J.A. Barroso), North-Holland, Amsterdam, 1979, 345-406. Zbl0409.46053MR520667
  7. [7] E. Hille and R.S. Phillips: Functional analysis and semi-groups, Amer. Math. Soc. Colloquim Publ., vol. 36, Amer. Math. Soc., Providence, R.I., 1957. Zbl0078.10004MR89373
  8. [8] Ph. Noverraz: Pseudo-convexité, convexité polynomiale et domaines d'holomorphie en dimension infinie, North-Holland, Amsterdam, 1973. Zbl0251.46049MR358348
  9. [9] H.H. Schaefer: Topological vector spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1971. Zbl0217.16002MR342978
  10. [10] T.J. Suffridge: Starlike and convex maps in Banach spaces, Pacific J. Math., 46 (1973), 575-589. Zbl0263.30016MR374914
  11. [11] E. Thorp and R. Whitley: The strong maximum modulus theorem for analytic functions into a Banach space, Proc. Amer. Math. Soc., 18 (1967), 640-646. Zbl0185.20102MR214794
  12. [12] E. Vesentini: Maximum theorems for vector-valued holomorphic functions, Rend. Sem. Mat. Fis. Milano, 40 (1970), 24-55. Zbl0221.58007MR287299
  13. [13] E. Vesentini: Variations on a theme of Carathéodory, Ann. Scuola Norm. Sup. Pisa (4) 7 (1979), 39-68. Zbl0413.46039MR529475
  14. [14] E. Vesentini: Invariant distances and invariant differential metrics in locally convex spaces, Proc. Stefan Banach International Mathematical Center, to appear. Zbl0505.32020MR738313

Citations in EuDML Documents

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  1. Marek Jarnicki, Peter Pflug, Rein Zeinstra, Geodesics for convex complex ellipsoids
  2. Edoardo Vesentini, Complex geodesics and isometries in Cartan domains of type four
  3. Edoardo Vesentini, On a class of inner maps
  4. Chiara De Fabritiis, Fixed points for automorphisms in Cartan domains of type IV
  5. Do Duc Thai, The fixed points of holomorphic maps on a convex domain
  6. Jean-Pierre Vigué, Sur les domaines hyperboliques pour la distance intégrée de Carathéodory
  7. Marco Abate, Giorgio Patrizio, Complex geodesics and Finsler metrics
  8. Adib Fadlalla, Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in N
  9. Graziano Gentili, On non-Uniqueness of Complex Geodesies in Convex Bounded Domains
  10. Hidetaka Hamada, Tatsuhiro Honda, A characterization of linear automorphisms of the Euclidean ball

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