Complex geodesics and Finsler metrics

• Autorzy: Marco Abate , Giorgio Patrizio
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1995
• Tom: 31
• Numer: 1
• Strony: 11-25

Daty

wydano

1995

Twórcy

autor

Marco Abate

• Dipartimento di Matematica, Università di Ancona, 60131 Ancona, Italy

autor

Giorgio Patrizio

• Dipartimento di Matematica, Seconda Università di Roma, 00133 Roma, Italy

Bibliografia

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