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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 238, Pages 5–54 (Mi tm342)  
This article is cited in 6 scientific papers (total in 6 papers)

Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces

D. V. Anosova, E. V. Zhuzhomab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Nizhny Novgorod State Technical University
Full-text PDF (604 kB) Citations (6)
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Abstract: To date, a large number of publications have appeared that are devoted to the study of asymptotic properties of the lifts of curves without self-intersections to the universal covering and the “collation” of these curves (in a certain sense) with lines of constant geodesic curvature that have the same asymptotic direction as the curves under investigation. This paper contains a survey of the results obtained. The ideas of proofs for the main results and the sketches of constructions for important examples on this subject field are presented.
Received in January 2002
Bibliographic databases:
Document Type: Article
UDC: 517.9+513.8
Language: Russian
Citation: D. V. Anosov, E. V. Zhuzhoma, “Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces”, Monodromy in problems of algebraic geometry and differential equations, Collected papers, Trudy Mat. Inst. Steklova, 238, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 5–54; Proc. Steklov Inst. Math., 238 (2002), 1–46
Citation in format AMSBIB
\Bibitem{AnoZhu02}
\by D.~V.~Anosov, E.~V.~Zhuzhoma
\paper Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces
\inbook Monodromy in problems of algebraic geometry and differential equations
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 238
\pages 5--54
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm342}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1969302}
\zmath{https://zbmath.org/?q=an:1030.37029}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 238
\pages 1--46
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    • This publication is cited in the following 6 articles:
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