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Matematicheskie Zametki, 1971, Volume 10, Issue 3, Pages 327–332 (Mi mzm9720)  
This article is cited in 5 scientific papers (total in 5 papers)

Isometric immersions of a Euclidean plane in Lobachevskii space

Yu. A. Volkov, S. M. Vladimirova

A. A. Zhdanov Leningrad State University
Full-text PDF (593 kB) Citations (5)
Abstract: It is proved that any regular isometric immersion of a Euclidean plane in (three-dimensional) Lobachevskii space is either a homeomorphism onto an orisphere or a covering of the surface formed by the rotation of an equidistant about its base.
Received: 25.01.1971
English version:
Mathematical Notes, 1971, Volume 10, Issue 3, Pages 619–622
DOI: https://doi.org/10.1007/BF01464724
Bibliographic databases:
Document Type: Article
UDC: 513
Language: Russian
Citation: Yu. A. Volkov, S. M. Vladimirova, “Isometric immersions of a Euclidean plane in Lobachevskii space”, Mat. Zametki, 10:3 (1971), 327–332; Math. Notes, 10:3 (1971), 619–622
Citation in format AMSBIB
\Bibitem{VolVla71}
\by Yu.~A.~Volkov, S.~M.~Vladimirova
\paper Isometric immersions of a Euclidean plane in Lobachevskii space
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 3
\pages 327--332
\mathnet{http://mi.mathnet.ru/mzm9720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=293547}
\zmath{https://zbmath.org/?q=an:0234.53047}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 3
\pages 619--622
\crossref{https://doi.org/10.1007/BF01464724}
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  • https://www.mathnet.ru/eng/mzm/v10/i3/p327
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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