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 Dokl. Akad. Nauk SSSR, 1963, Volume 150, Number 6, Pages 1206–1209 (Mi dan28206)

MATHEMATICS

The impossibility in Euclidean $3$-space of a complete regular surface with a negative upper bound of the Gaussian curvature

N. V. Efimov

Lomonosov Moscow State University

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Presented: È. Ã. Ïåòðîâñêèé

Citation: N. V. Efimov, “The impossibility in Euclidean $3$-space of a complete regular surface with a negative upper bound of the Gaussian curvature”, Dokl. Akad. Nauk SSSR, 150:6 (1963), 1206–1209

Citation in format AMSBIB
\Bibitem{Efi63} \by N.~V.~Efimov \paper The impossibility in Euclidean $3$-space of a complete regular surface with a negative upper bound of the Gaussian curvature \jour Dokl. Akad. Nauk SSSR \yr 1963 \vol 150 \issue 6 \pages 1206--1209 \mathnet{http://mi.mathnet.ru/dan28206} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=0150702} \zmath{https://zbmath.org/?q=an:0135.40001} 

• http://mi.mathnet.ru/eng/dan28206
• http://mi.mathnet.ru/eng/dan/v150/i6/p1206

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. N. V. Efimov, “Surfaces with a slowly changing negative curvature”, Russian Math. Surveys, 21:5 (1966), 1–55
2. È. R. Rozendorn, “Weakly irregular surfaces of negative curvature”, Russian Math. Surveys, 21:5 (1966), 57–112
3. È. G. Poznyak, “Isometric immersions of two-dimensional Riemannian metrics in euclidean space”, Russian Math. Surveys, 28:4 (1973), 47–77
4. A. A. Borisenko, E. V. Petrov, “Surfaces in the Three-Dimensional Heisenberg Group on Which the Gauss Map Has Bounded Jacobian”, Math. Notes, 89:5 (2011), 746–748
5. V. A. Zorich, “On the measure of conformal difference between Euclidean and Lobachevsky spaces”, Sb. Math., 202:12 (2011), 1825–1830
6. I. Kh. Sabitov, “The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research”, Trans. Moscow Math. Soc., 77 (2016), 149–175