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Sbornik: Mathematics, 2000, Volume 191, Issue 6, Pages 937–943
DOI: https://doi.org/10.1070/sm2000v191n06ABEH000488
(Mi sm488)
 

This article is cited in 1 scientific paper (total in 1 paper)

Double canal hypersurfaces in the Euclidean space $E^n$

M. A. Cheshkova

Altai State University
References:
Abstract: A multidimensional analogue of the cyclides of Dupin is considered: double canal hypersurfaces. A generalization is proved of the theorem about the set of centres $C_1$ and $C_2$ of the generating hyperspheres.
Received: 24.04.2000
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 6, Pages 155–160
DOI: https://doi.org/10.4213/sm488
Bibliographic databases:
UDC: 514.75
MSC: Primary 53A07; Secondary 53C05
Language: English
Original paper language: Russian
Citation: M. A. Cheshkova, “Double canal hypersurfaces in the Euclidean space $E^n$”, Mat. Sb., 191:6 (2000), 155–160; Sb. Math., 191:6 (2000), 937–943
Citation in format AMSBIB
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\paper Double canal hypersurfaces in the~Euclidean space~$E^n$
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\yr 2000
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\pages 155--160
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\pages 937--943
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Linking options:
  • https://www.mathnet.ru/eng/sm488
  • https://doi.org/10.1070/sm2000v191n06ABEH000488
  • https://www.mathnet.ru/eng/sm/v191/i6/p155
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:409
    Russian version PDF:200
    English version PDF:19
    References:67
    First page:1
     
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