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On the Regularity of the s-Differential Metric

Published online by Cambridge University Press:  20 November 2018

Javad Mashreghi  and
Mohamad R. Pouryayevali
Javad Mashreghi
Affiliation:
Département de mathématiques, et de statistique, Université Laval, Québec, QC, G1K 7P4 e-mail: [email protected]
Mohamad R. Pouryayevali
Affiliation:
Department of Mathematics, University of Isfahan, P.O. Box 81745-163, Isfahan, Iran e-mail: [email protected]
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Abstract

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We show that the injective Kobayashi–Royden differential metric, as defined by Hahn, is upper semicontinous.

Keywords

32F4532Q45Invariant metricKobayashi–Royden metricHahn metrics-metric
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 48 , Issue 4 , 01 December 2005 , pp. 601 - 606
Copyright
Copyright © Canadian Mathematical Society 2005

References

[1] Hahn, K. T., Some remarks on a new pseudo differential metric. Ann. Polon. Math. 39(1981), 71–81.Google Scholar
[2] Jarnicki, M. and Pflug, P., Invariant Distances and Metrics in Complex Analysis. de Gruyter Expositions in Mathematics 9, de Gruyter, Berlin, 1993.Google Scholar
[3] Kobayashi, S., A new invariant infinitesimal metric. Internat. J. Math. 1(1990), 83–90.Google Scholar
[4] Kobayashi, S., Hyperbolic Manifolds and Holomorphic Mappings. Pure and Applied Mathematics 2, Marcel Dekker, New York (1970).Google Scholar
[5] Overholt, M., Injective hyperbolicity of domains. Ann. Polon Math. 62(1995), 79–82.Google Scholar
[6] Royden, H., Remarks on the Kobayashi metric. Lecture Notes in Math. 185, Springer-Verlag, Berlin, 1971, pp. 125–137.Google Scholar
[7] Venturini, S., Pseudodistances and pseudometrics on real and complex manifolds. Ann.Mat. Pura. Appl. 154(1989), 385–402.Google Scholar
[8] Vesentini, E., Injective hyperbolicity. Ricerche. Mat. 36(1987), 99–109.Google Scholar
[9] Vigué, J. P., Une remarque sur l’hyperbolicité injective. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 83(1989), 57–61.Google Scholar