The scientific heritage of I. P. Egorov (July 25, 1915 -- October 2, 1990)
type: Item
instance of: scholarly article
title: The scientific heritage of I. P. Egorov (July 25, 1915 -- October 2, 1990)
zbMATH Open document ID: 0862.01020
DOI: 10.1007/BF02362830
author: A. I. Egorov
author: N. S. Sinyukov
author: A. Ya. Sultanov
published in: Journal of Mathematical Sciences (New York)
publication date: 1996-06-23T00:00:00Z
review text: The article under review describes the scientific heritage of I. P. Egorov (July 25, 1915 -- October 2, 1990). The principal object of Egorov's research was the theory of lacunas in motion group orders and the geometries of their corresponding lacunary spaces. Starting with the Fubini theorem stating that there are no Riemannian spaces of dimension \(n\) with a complete isometry group \(G_r\) of order \(r=n(n+1)-1\) Egorov obtained his famous result that there exists no affine connection space admitting complete isometry group \(G_r\) of orders \(n^2< r<n^2+n\), finding an interval of ``forbidden'' isometry group orders named lacuna. Later Egorov determined the exact boundaries of some lacunas and characterized the spaces of the corresponding lacunarities. The article under review gives a complete account of these researches and corresponding methods based on Egorov's study of isometry equation integrability conditions as well as some other Egorov's results.
Mathematics Subject Classification ID: 01A70
Mathematics Subject Classification ID: 01A60
zbMATH DE Number: 877640
zbMATH Keywords: Obituary
reviewed by: Valery Borisovich Marenich
MaRDI profile type: Publication
cites work: Q5790524
cites work: Q5797635
cites work: Q5816004
cites work: Q5819915
cites work: Q5848435
cites work: Q3237942
cites work: Q3235030
cites work: Q5515054
cites work: Q5339646
cites work: Q5618747
full work available at URL: https://doi.org/10.1007/bf02362830
OpenAlex ID: W191933830
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description: scientific article; zbMATH DE number 877640