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On the Regularity of the s-Differential Metric
Published online by Cambridge University Press: 20 November 2018
Abstract
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We show that the injective Kobayashi–Royden differential metric, as defined by Hahn, is upper semicontinous.
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- Research Article
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- 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
[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
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