ArticleOriginal scientific text
Title
Injective hyperbolicity of domains
Authors 1
Affiliations
- IMR University of Tromsoe, N-9037 Tromsoe, Norway
Abstract
The pseudometric of Hahn is identical to the Kobayashi-Royden pseudometric on domains of dimension greater than two. Thus injective hyperbolicity coincides with ordinary hyperbolicity in this case.
Keywords
invariant metric, Kobayashi-Royden metric, Hahn metric, S-metric
Bibliography
- K. T. Hahn, Some remarks on a new pseudo-differential metric, Ann. Polon. Math. 39 (1981), 71-81.
- S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York, 1970, p. 77.
- C. D. Minda, The Hahn metric on Riemann surfaces, Kodai Math. J. 6 (1983), 57-69.
- Y.-T. Siu, All plane domains are Banach-Stein, Manuscripta Math. 14 (1974), 101-105.
- E. Vesentini, Injective hyperbolicity, Ricerche Mat., Suppl. Vol. 36 (1987), 99-109.
- J.-P. Vigué, Une remarque sur l'hyperbolicité injective, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 83 (1989), 57-61.
- J. Zhang, Metric S on holomorphy domain, Kexue Tongbao 33 (5) (1988), 353-356.
Pages:
79-82
Main language of publication
English
Received
1994-12-29
Published
1995
Exact and natural sciences