Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 179, Pages 67–72
DOI: https://doi.org/10.36535/0233-6723-2020-179-67-72 (Mi into628) 		 
Steiner subratio of Riemannian manifolds

E. I. Stepanova

Lomonosov Moscow State University
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DOI: https://doi.org/10.36535/0233-6723-2020-179-67-72
Abstract: The Steiner subratio is one of the Steiner-type relations 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.
Keywords: minimal Steiner net, minimal filling, Steiner subratio.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6399.2018.1 (075-02-2018-867)
Russian Foundation for Basic Research 16-01-00378-a
This work was supported by the Program of the President of the Russian Federation for Leading Scientific Schools of Russia (project NSh-6399.2018.1, agreement 075-02-2018-867) and the Russian Foundation for Basic Research (project No. 16-01-00378-a).
Document Type: Article
UDC: 514.74; 515.124.4; 519.176
MSC: 05C05, 05C22, 05C35, 53C23
Language: Russian
Citation: E. I. Stepanova, “Steiner subratio of Riemannian manifolds”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 179, VINITI, Moscow, 2020, 67–72
Citation in format AMSBIB
\Bibitem{Ste20}
\by E.~I.~Stepanova
\paper Steiner subratio of Riemannian manifolds
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 179
\pages 67--72
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into628}
\crossref{https://doi.org/10.36535/0233-6723-2020-179-67-72}
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