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Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 76, Issue 2, Pages 317–329
DOI: https://doi.org/10.1070/SM1993v076n02ABEH003416 (Mi sm1057) 		 
Regular isometric immersion in the large of two-dimensional metrics of nonpositive curvature

D. V. Tunitsky
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DOI: https://doi.org/10.1070/SM1993v076n02ABEH003416
Abstract: The author proves the possibility of a regular isometric immersion in three-dimensional Euclidean space of certain classes of unbounded domains on complete Riemannian manifolds of nonpositive curvature that are homeomorphic to the plane. This is an extension and development of the results of the author published in [1] and [2].
Received: 24.05.1991
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 7, Pages 65–80
Bibliographic databases:
UDC: 514.764.254
MSC: 53C21, 53C25, 53C42
Language: English
Original paper language: Russian
Citation: D. V. Tunitsky, “Regular isometric immersion in the large of two-dimensional metrics of nonpositive curvature”, Mat. Sb., 183:7 (1992), 65–80; Russian Acad. Sci. Sb. Math., 76:2 (1993), 317–329
Citation in format AMSBIB
\Bibitem{Tun92}
\by D.~V.~Tunitsky
\paper Regular isometric immersion in the~large of two-dimensional metrics of nonpositive curvature
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 7
\pages 65--80
\mathnet{http://mi.mathnet.ru/sm1057}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1186975}
\zmath{https://zbmath.org/?q=an:0773.53001|0791.53009}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 76
\issue 2
\pages 317--329
\crossref{https://doi.org/10.1070/SM1993v076n02ABEH003416}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MK59600005}
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  • https://www.mathnet.ru/eng/sm/v183/i7/p65
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:200
    Russian version PDF:80
    English version PDF:5
    References:36
    First page:1
     
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