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Sbornik: Mathematics, 2020, Volume 211, Issue 3, Pages 422–454
DOI: https://doi.org/10.1070/SM9167 (Mi sm9167) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A generalized theorem on curvilinear three-web boundaries and its applications

A. M. Shelekhov

Moscow Pedagogical State University, Moscow, Russia
English version PDF (654 kB) Citations (2) Russian version article
References:
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DOI: https://doi.org/10.1070/SM9167
Abstract: Suppose that a curvilinear three-web is given by the equation $F(x,y,z)=0$. A specific structure of the derivatives of the function $F$ is established that characterizes regular three-webs. This makes it possible to list all regular three-webs formed by the Cartesian net and a family of circles, and also by the Cartesian net and a family of second-order curves.
Bibliography: 4 titles.
Keywords: curvilinear three-web, regular three-web, circle three-web, three-web of conics.
Received: 10.09.2018 and 03.03.2019
Bibliographic databases:
Document Type: Article
UDC: 514.763.7
MSC: Primary 53A60; Secondary 14C21
Language: English
Original paper language: Russian
Citation: A. M. Shelekhov, “A generalized theorem on curvilinear three-web boundaries and its applications”, Sb. Math., 211:3 (2020), 422–454
Citation in format AMSBIB
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\paper A~generalized theorem on curvilinear three-web boundaries and its applications
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\vol 211
\issue 3
\pages 422--454
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  • https://www.mathnet.ru/eng/sm/v211/i3/p124
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:433
    Russian version PDF:52
    English version PDF:56
    References:70
    First page:5
     
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