Geodesic
Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings
Informatics and Automation, Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings, Tome 249 (2005), pp. 3-239

Voir la notice de l'article provenant de la source Math-Net.Ru

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 Poincaré rotation numbers) and to the leaves of foliations and laminations. 
@article{TRSPY_2005_249_a0,
     author = {D. V. Anosov and E. V. Zhuzhoma},
     title = {Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings},
     journal = {Informatics and Automation},
     pages = {3--239},
     publisher = {mathdoc},
     volume = {249},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2005_249_a0/}
}
TY  - JOUR
AU  - D. V. Anosov
AU  - E. V. Zhuzhoma
TI  - Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings
JO  - Informatics and Automation
PY  - 2005
SP  - 3
EP  - 239
VL  - 249
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2005_249_a0/
LA  - ru
ID  - TRSPY_2005_249_a0
ER  - 
%0 Journal Article
%A D. V. Anosov
%A E. V. Zhuzhoma
%T Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings
%J Informatics and Automation
%D 2005
%P 3-239
%V 249
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2005_249_a0/
%G ru
%F TRSPY_2005_249_a0
D. V. Anosov; E. V. Zhuzhoma. Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings. Informatics and Automation, Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings, Tome 249 (2005), pp. 3-239. http://geodesic.mathdoc.fr/item/TRSPY_2005_249_a0/