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Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains

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Abstract

The purpose of this paper is to investigate the relations among some geometric quantities defined for every hyperbolic plane domain of any connectivity, each of which measures, in some sense, how much the domain deviates either from a disc, convex domain, or simply connected domain on one hand, or a punctured domain on the other hand.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, The Hebrew University of Jerusalem, Givat Ram, 91904, Jerusalem, Israel

    Reuven Harmelin

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  1. Reuven Harmelin
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Supported by the Landau Center for Mathematical Research in Analysis.

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Harmelin, R. Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains. Israel J. Math. 70, 111–128 (1990). https://doi.org/10.1007/BF02807223

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  • DOI: https://doi.org/10.1007/BF02807223

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