Geodesic
On the Lifts to the Plane of Semileaves of Foliations on the Torus with a~Finite Number of Singularities
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 28-55

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

An example of a semi-infinite non-self-intersecting curve on the torus is constructed having the property such that its lifts to the universal covering plane are at infinite Frechet distance from any lift of any semileaf of any foliation on the torus with a finite number of singular points. Thus for the lifts of the semileaves of such foliations there are fewer possible “types of behavior up to a finite Frechet distance” than for the lifts of arbitrary non-self-intersecting curves. 
@article{TM_1999_224_a2,
     author = {D. V. Anosov},
     title = {On the {Lifts} to the {Plane} of {Semileaves} of {Foliations} on the {Torus} with {a~Finite} {Number} of {Singularities}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {28--55},
     publisher = {mathdoc},
     volume = {224},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1999_224_a2/}
}
TY  - JOUR
AU  - D. V. Anosov
TI  - On the Lifts to the Plane of Semileaves of Foliations on the Torus with a~Finite Number of Singularities
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 1999
SP  - 28
EP  - 55
VL  - 224
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_1999_224_a2/
LA  - ru
ID  - TM_1999_224_a2
ER  - 
%0 Journal Article
%A D. V. Anosov
%T On the Lifts to the Plane of Semileaves of Foliations on the Torus with a~Finite Number of Singularities
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 1999
%P 28-55
%V 224
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_1999_224_a2/
%G ru
%F TM_1999_224_a2
D. V. Anosov. On the Lifts to the Plane of Semileaves of Foliations on the Torus with a~Finite Number of Singularities. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 28-55. http://geodesic.mathdoc.fr/item/TM_1999_224_a2/