Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 1, Pages 15–20 (Mi vmumm202)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Directional derivative of the weight of a minimal filling in Riemannian manifolds

E. I. Stepanova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: It is proved that the weight of the minimal filling, the Steiner–Gromov ratio, and the Steiner subratio regarded as functions of finite subsets of a complete connected Riemannian manifold have directional derivatives in all directions.
Key words: Riemannian manifold, minimal filling.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00664а
Ministry of Education and Science of the Russian Federation НШ-81.2014.1
Received: 11.02.2013
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 1, Pages 14–18
DOI: https://doi.org/10.3103/S0027132215010039
Bibliographic databases:
Document Type: Article
UDC: 514.77+519.176+515.165.7
Language: Russian
Citation: E. I. Stepanova, “Directional derivative of the weight of a minimal filling in Riemannian manifolds”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 1, 15–20; Moscow University Mathematics Bulletin, 70:1 (2015), 14–18
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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