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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 10, Pages 79–93 (Mi ivm9407)  
This article is cited in 4 scientific papers (total in 4 papers)

On hexagonal three-webs formed by Cartesian net and a family of circles

A. M. Shelekhov

Tver State University, 33 Zhelyabov str., Tver, 170100 Russia
Full-text PDF (222 kB) Citations (4)
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Abstract: By the Elie Cartan's method we prove that there are only two types of regular three-webs formed by the Cartesian net and a family of circles: three-webs $(C_1)$, in which the family is formed by concentric circles, and the three-webs $(C_2)$, where all circles of the family have the same radius, and their centers lie on a line.
Keywords: curvilinear three–web, regular three-web, circle three–web, three-web curvature.
Received: 23.10.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 10, Pages 68–81
DOI: https://doi.org/10.3103/S1066369X18100080
Bibliographic databases:
Document Type: Article
UDC: 514.763
Language: Russian
Citation: A. M. Shelekhov, “On hexagonal three-webs formed by Cartesian net and a family of circles”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10, 79–93; Russian Math. (Iz. VUZ), 62:10 (2018), 68–81
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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