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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 1, Pages 101–114
DOI: https://doi.org/10.1070/IM1989v033n01ABEH000816 (Mi im1204) 		 
Geodesics on the two-dimensional torus with two rotation numbers

L. V. Polterovich
English version PDF (939 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1989v033n01ABEH000816
Abstract: Geodesies with two arbitrary predetermined rotation numbers are constructed for Riemannian metrics on the two-dimensional torus that satisfy a special nonintegrability condition. Each of the geodesics constructed is asymptotic to two minimal geodesics with these rotation numbers and is a union of two minimal semigeodesics outside some segment of finite length.
Bibliography: 8 titles.
Received: 07.01.1987
Bibliographic databases:
UDC: 517.91
MSC: Primary 58F17, 58F15; Secondary 57N05
Language: English
Original paper language: Russian
Citation: L. V. Polterovich, “Geodesics on the two-dimensional torus with two rotation numbers”, Math. USSR-Izv., 33:1 (1989), 101–114
Citation in format AMSBIB
\Bibitem{Pol88}
\by L.~V.~Polterovich
\paper Geodesics on the two-dimensional torus with two rotation numbers
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 1
\pages 101--114
\mathnet{http://mi.mathnet.ru//eng/im1204}
\crossref{https://doi.org/10.1070/IM1989v033n01ABEH000816}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=966984}
\zmath{https://zbmath.org/?q=an:0675.58030}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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