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Estimation of the Visibility Angle of a Curve in a Metric Space of Nonpositive Curvature

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Abstract

We give an elementary proof to the inequality estimating some characteristic of a curve, the visibility angle of the curve from a given point, through the integral curvature of the curve. We consider the case of curves in a metric space of nonpositive curvature in the sense of Alexandrov.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk

    Yu. G. Reshetnyak

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  1. Yu. G. Reshetnyak
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Reshetnyak, Y.G. Estimation of the Visibility Angle of a Curve in a Metric Space of Nonpositive Curvature. Siberian Mathematical Journal 43, 562–567 (2002). https://doi.org/10.1023/A:1015428005694

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  • DOI: https://doi.org/10.1023/A:1015428005694

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