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Mathematics of the USSR-Izvestiya, 1980, Volume 14, Issue 1, Pages 1–16
DOI: https://doi.org/10.1070/IM1980v014n01ABEH001057 (Mi im1574) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The existence of convex spherical metrics, all closed nonselfintersecting geodesics of which are hyperbolic

A. I. Gryuntal'
English version PDF (827 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM1980v014n01ABEH001057
Abstract: In this paper it is shown that in any $C^1$-neighborhood of the standard metric $H_0$ on $S^2$, there exists a subset consisting of convex metrics, which is open in the $C^2$-topology, and all of whose closed nonselfintersecting geodesics are hyperbolic.
Bibliography: 13 titles.
Received: 13.06.1978
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1979, Volume 43, Issue 1, Pages 3–18
Bibliographic databases:
UDC: 517.9
MSC: Primary 53C20, 58C99; Secondary 34C40
Language: English
Original paper language: Russian
Citation: A. I. Gryuntal', “The existence of convex spherical metrics, all closed nonselfintersecting geodesics of which are hyperbolic”, Izv. Akad. Nauk SSSR Ser. Mat., 43:1 (1979), 3–18; Math. USSR-Izv., 14:1 (1980), 1–16
Citation in format AMSBIB
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\paper The existence of convex spherical metrics, all closed nonselfintersecting geodesics of which are hyperbolic
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1979
\vol 43
\issue 1
\pages 3--18
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\zmath{https://zbmath.org/?q=an:0433.53032|0403.53021}
\transl
\jour Math. USSR-Izv.
\yr 1980
\vol 14
\issue 1
\pages 1--16
\crossref{https://doi.org/10.1070/IM1980v014n01ABEH001057}
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Linking options:
  • https://www.mathnet.ru/eng/im1574
  • https://doi.org/10.1070/IM1980v014n01ABEH001057
  • https://www.mathnet.ru/eng/im/v43/i1/p3
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:340
    Russian version PDF:108
    English version PDF:6
    References:63
    First page:1
     
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