Injective hyperbolicity of domains

• Autorzy: Marius Overholt
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

invariant metric; Kobayashi-Royden metric; Hahn metric; S-metric

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1995
• Tom: 62
• Numer: 1
• Strony: 79-82

Daty

wydano

1995

otrzymano

1994-12-29

Twórcy

autor

Marius Overholt

• IMR University of Tromsoe, N-9037 Tromsoe, Norway

Bibliografia

• [1] K. T. Hahn, Some remarks on a new pseudo-differential metric, Ann. Polon. Math. 39 (1981), 71-81.
• [2] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York, 1970, p. 77.
• [3] C. D. Minda, The Hahn metric on Riemann surfaces, Kodai Math. J. 6 (1983), 57-69.
• [4] Y.-T. Siu, All plane domains are Banach-Stein, Manuscripta Math. 14 (1974), 101-105.
• [5] E. Vesentini, Injective hyperbolicity, Ricerche Mat., Suppl. Vol. 36 (1987), 99-109.
• [6] J.-P. Vigué, Une remarque sur l'hyperbolicité injective, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 83 (1989), 57-61.
• [7] J. Zhang, Metric S on holomorphy domain, Kexue Tongbao 33 (5) (1988), 353-356.