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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1023–1026
DOI: https://doi.org/10.33048/semi.2021.18.077 (Mi semr1418) 		 
Geometry and topology

On metrics admitting a discontinuum set of non-congruent immersions in $\mathbb R^3$

I. Kh. Sabitov

Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.077
Abstract: We present a description of metrics of revolution immersible in $\mathbb R^3$ by a discontinuum set of non-congruent isometric surfaces.
Keywords: metric, isometric immersion, surface of revolution, equation, set of solutions.
Received August 1, 2021, published October 5, 2021
Bibliographic databases:
Document Type: Article
UDC: 514
MSC: 53C
Language: Russian
Citation: I. Kh. Sabitov, “On metrics admitting a discontinuum set of non-congruent immersions in $\mathbb R^3$”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1023–1026
Citation in format AMSBIB
\Bibitem{Sab21}
\by I.~Kh.~Sabitov
\paper On metrics admitting a discontinuum set of non-congruent immersions in $\mathbb R^3$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1023--1026
\mathnet{http://mi.mathnet.ru/semr1418}
\crossref{https://doi.org/10.33048/semi.2021.18.077}
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