Non-holonomic torses of the second kind
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2011), pp. 31-43 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Two-dimensional non-holonomic distributions of zero total curvature of the second kind (NT-2) are considered using Cartan's method and moving frames in the three-dimensional Euclidean space. Classification of NT-2 is presented and properties of invariant NT-2 curves are studied.
Keywords: non-holonomic geometry, distribution of planes, vector field.
Mots-clés : Pfaffian equation
@article{VTGU_2011_1_a3,
     author = {N. M. Onishuk and O. V. Tsokolova},
     title = {Non-holonomic torses of the second kind},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {31--43},
     year = {2011},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2011_1_a3/}
}
TY  - JOUR
AU  - N. M. Onishuk
AU  - O. V. Tsokolova
TI  - Non-holonomic torses of the second kind
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2011
SP  - 31
EP  - 43
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VTGU_2011_1_a3/
LA  - ru
ID  - VTGU_2011_1_a3
ER  - 
%0 Journal Article
%A N. M. Onishuk
%A O. V. Tsokolova
%T Non-holonomic torses of the second kind
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2011
%P 31-43
%N 1
%U http://geodesic.mathdoc.fr/item/VTGU_2011_1_a3/
%G ru
%F VTGU_2011_1_a3
N. M. Onishuk; O. V. Tsokolova. Non-holonomic torses of the second kind. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2011), pp. 31-43. http://geodesic.mathdoc.fr/item/VTGU_2011_1_a3/

[1] Finikov S. P., Metod vneshnikh form Kartana, GITTL, M.–L., 1948

[2] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya, Nauka, M., 1979 | MR

[3] Vershik A. M., Gershkovich V. Ya., “Negolonomnye dinamicheskie sistemy. Geometriya raspredelenii i variatsionnye zadachi”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 16, VINITI, M., 1987, 5–85 | MR | Zbl

[4] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, v. 1, Nauka, M., 1981

[5] Sintsov D. M., Raboty po negolonomnoi geometrii, Vischa shkola, Kiev, 1972 | MR

[6] Onischuk N. M., Tsokolova O. V., “Minimalnye negolonomnye torsy 2-go roda”, Vestnik Tomskogo gosuniversiteta. Matematika i mekhanika, 2009, no. 3(7), 42–55

[7] Aminov Yu. A., Geometriya vektornogo polya, Nauka, M., 1990 | MR | Zbl

[8] Slukhaev V. V., Geometriya vektornykh polei, Izd-vo Tom. un-ta, Tomsk, 1982