Complex geodesics and Finsler metrics

Marco Abate; Giorgio Patrizio

Banach Center Publications (1995)

  • Volume: 31, Issue: 1, page 11-25
  • ISSN: 0137-6934

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Abate, Marco, and Patrizio, Giorgio. "Complex geodesics and Finsler metrics." Banach Center Publications 31.1 (1995): 11-25. <http://eudml.org/doc/262724>.

@article{Abate1995,
author = {Abate, Marco, Patrizio, Giorgio},
journal = {Banach Center Publications},
keywords = {complex Finsler metric; complex geodesic},
language = {eng},
number = {1},
pages = {11-25},
title = {Complex geodesics and Finsler metrics},
url = {http://eudml.org/doc/262724},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Abate, Marco
AU - Patrizio, Giorgio
TI - Complex geodesics and Finsler metrics
JO - Banach Center Publications
PY - 1995
VL - 31
IS - 1
SP - 11
EP - 25
LA - eng
KW - complex Finsler metric; complex geodesic
UR - http://eudml.org/doc/262724
ER -

References

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  1. [A] M. Abate, Iteration Theory of Holomorphic Maps on Taut Manifolds, Mediterranean Press, Cosenza, 1989 Zbl0747.32002
  2. [AP1] M. Abate and G. Patrizio, Uniqueness of complex geodesics and characterization of circular domains, Manuscripta Math. 74 (1992), 277-297. Zbl0758.53039
  3. [AP2] M. Abate and G. Patrizio, Holomorphic curvature of Finsler metrics and complex geodesics, Preprint MPI 92-41, 1992. 
  4. [B] D. Burns, Curvature of Monge-Ampère foliations and parabolic manifolds, Ann. of Math. 115 (1982), 349-373. Zbl0507.32011
  5. [GW] R. E. Greene and H. Wu, Function Theory on Manifolds which Posess a Pole, Springer Lecture Notes 699, Berlin, 1979. 
  6. [K] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Dekker, New York, 1970. Zbl0207.37902
  7. [L] L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France 109 (1981), 427-474. 
  8. [P] G. Patrizio, A characterization of complex manifolds biholomorphic to a circular domain, Math. Z. 189 (1985), 343-363. Zbl0591.32030
  9. [R] H. L. Royden, Complex Finsler metrics, in: Contemporary Mathematics. Proceedings of Summer Research Conference, American Mathematical Society, Providence, 1984, 119-124. 
  10. [Ru1] H. Rund, The Differential Geometry of Finsler Spaces, Springer, Berlin, 1959. 
  11. [V] E. Vesentini, Complex geodesics, Compositio Math. 44 (1981), 375-394. Zbl0488.30015
  12. [Wu] H. Wu, A remark on holomorphic sectional curvature, Indiana Univ. Math. J. 22 (1973), 1103-1108. Zbl0265.53055

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