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How the distance between subspaces in the metric of a spherical opening affects the geometric structure of a symmetric space
- Authors: Strakhov S.I.1
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Affiliations:
- Samara National Research University
- Issue: Vol 28, No 1-2 (2022)
- Pages: 23-31
- Section: Mathematics
- URL: https://journals.ssau.ru/est/article/view/10966
- DOI: https://doi.org/10.18287/2541-7525-2022-28-1-2-23-31
- ID: 10966
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Abstract
A relationship is found between the metric of a spherical opening on the space of all subspaces of a symmetric space and some numerical characteristic of the subspace. It is known that, for example, in this characteristic takes only two values (i.e. this is a binary space), while in there are infinitely many values. Using the connection found, the necessary conditions for the binarity of a symmetric space were generalized.
About the authors
Stepan I. Strakhov
Samara National Research University
Author for correspondence.
Email: www.stepan121@mail.ru
ORCID iD: 0000-0002-2905-9124
assistant of the Department of Functional Analysis and Function Theory
Russian Federation, SamaraReferences
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