Конечные однородные метрические пространства

Translated title of the contribution: Finite Homogeneous Metric Spaces

Валерий Николаевич Берестовский, Yuriĭ Gennadievich Nikonorov

Research output: Contribution to journalArticlepeer-review

Abstract

The authors study the class of finite homogeneous metric spaces and some of its important subclasses that have natural definitions in terms of the metrics and well studied analogs in the class of Riemannian manifolds. The relationships between these classes are explored. The examples of the corresponding spaces are built, some of which are the vertex sets of the special convex polytopes in Euclidean space. We describe the classes on using the language of graph theory, which enables us to provide some examples of finite metric spaces with unusual properties. Several unsolved problems are posed
Translated title of the contributionFinite Homogeneous Metric Spaces
Original languageRussian
Pages (from-to)973-995
Number of pages23
JournalСибирский математический журнал
Volume60
Issue number5
DOIs
Publication statusPublished - 2019

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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