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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


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.

ISBN: 5-02-033712-9

Full text: Contents

Citation: D. V. Anosov, E. V. Zhuzhoma, Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings, Trudy 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 Trudy 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}

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    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.

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