RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy MIAN:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


2005, Volume 249  

| General information | Contents | Forward links |


Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings


Authors: D. V. Anosov, E. V. Zhuzhoma
Volume Editor: E. F. Mishchenko

ISBN: 5-02-033712-9

Abstract: This monograph is devoted to the properties of infinite (either in one direction or in both directions) curves without self-intersections on closed surfaces. The properties considered are those that are exhibited when the curves are lifted to the universal covering and are associated with the asymptotic behavior of the lifted curves at infinity; these properties mainly manifest themselves when the curves are compared with geodesics or with curves of constant geodesic curvature. The approach described can be applied to the trajectories of flows (which leads to a far-reaching generalization of the Poincare rotation numbers) and to the leaves of foliations and laminations.
The book is addressed to a broad circle of specialists in the theory of differential equations and dynamical systems, as well as to postgraduate students of relevant specialties.


Citation: D. V. Anosov, E. V. Zhuzhoma, Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings, Tr. Mat. Inst. Steklova, 249, ed. E. F. Mishchenko, Nauka, MAIK Nauka/Inteperiodika, M., 2005, 240 pp.

Citation in format AMSBIB:
\Bibitem{1}
\by D.~V.~Anosov, E.~V.~Zhuzhoma
\book Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings
\serial Tr. Mat. Inst. Steklova
\yr 2005
\vol 249
\publ Nauka, MAIK Nauka/Inteperiodika
\publaddr M.
\ed E.~F.~Mishchenko
\totalpages 240
\mathnet{http://mi.mathnet.ru/book262}


Linking options:
  • http://mi.mathnet.ru/eng/book262


  • Full text: Contents

    Review databases:


    Additional information

    This monograph is devoted to the properties of infinite (either in one direction or in both directions) curves without self-intersections on closed surfaces. The properties considered are those that are exhibited when the curves are lifted to the universal covering and are associated with the asymptotic behavior of the lifted curves at infinity; these properties mainly manifest themselves when the curves are compared with geodesics or with curves of constant geodesic curvature. The approach described can be applied to the trajectories of flows (which leads to a far-reaching generalization of the Poincare rotation numbers) and to the leaves of foliations and laminations.

    The book is addressed to a broad circle of specialists in the theory of differential equations and dynamical systems, as well as to postgraduate students of relevant specialties.


       . . .  Proceedings of the Steklov Institute of Mathematics
     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020