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Steiner Subratio of Riemannian Manifolds

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Abstract

The Steiner subratio is one of the Steiner-type ratios that show how much the weights of optimal connecting graphs in a metric space can differ. In this paper, an upper estimate for the Steiner subratio of Riemannian manifolds is obtained.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow, Russia

    E. I. Stepanova

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  1. E. I. Stepanova
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Correspondence to E. I. Stepanova.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 179, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, 2020.

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Stepanova, E.I. Steiner Subratio of Riemannian Manifolds. J Math Sci 276, 417–422 (2023). https://doi.org/10.1007/s10958-023-06758-7

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  • DOI: https://doi.org/10.1007/s10958-023-06758-7

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