Geodesic
Сanonical frames of a curve in multidimensional affine space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 23-31 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Using the classical Elie Cartan method we construct a canonical frame of a smooth curve in multidimensional affine space with canonical or non-canonical parameter.
Mots-clés : multidimensional affine space
Keywords: smooth curve, canonical frame, Elie Cartan method. 
@article{IVM_2016_4_a3,
     author = {M. I. Kabanova and A. M. Shelekhov},
     title = {{\CYRS}anonical frames of a~curve in multidimensional affine space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {23--31},
     year = {2016},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_4_a3/}
}
TY  - JOUR
AU  - M. I. Kabanova
AU  - A. M. Shelekhov
TI  - Сanonical frames of a curve in multidimensional affine space
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2016
SP  - 23
EP  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IVM_2016_4_a3/
LA  - ru
ID  - IVM_2016_4_a3
ER  - 
%0 Journal Article
%A M. I. Kabanova
%A A. M. Shelekhov
%T Сanonical frames of a curve in multidimensional affine space
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2016
%P 23-31
%N 4
%U http://geodesic.mathdoc.fr/item/IVM_2016_4_a3/
%G ru
%F IVM_2016_4_a3
M. I. Kabanova; A. M. Shelekhov. Сanonical frames of a curve in multidimensional affine space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 23-31. http://geodesic.mathdoc.fr/item/IVM_2016_4_a3/

[1] Blyashke V., Vvedenie v geometriyu tkanei, Fizmatgiz, M., 1959 | MR

[2] Shirokov P. A., Shirokov A. P., Affinnaya differentsialnaya geometriya, Fizmatgiz, 1959

[3] Davis D., “Generic affine differential geometry of curves in $\mathbb R^n$”, Proc. Royal Soc. Edinburgh A, 136 (2006), 1195–1205 | DOI | MR | Zbl

[4] Favar Zh., Kurs lokalnoi differentsialnoi geometrii, M., 1960

[5] Izumiya S., Sano T., “Generic affine differential geometry of plane curves”, Proc. Royal Soc. Edinburgh A, 128 (1998), 301–314 | DOI | MR | Zbl

[6] Izumiya S., Sano T., “Generic affine differential geometry of space curves”, Proc. Edinburgh Math. Soc., 41 (1998), 315–324 | DOI | MR | Zbl

[7] Evtushik L. E., Lumiste Yu. G., Ostianu N. M., Shirokov A. P., Differentsialno-geometricheskie struktury na mnogoobraziyakh, Itogi nauki i tekhn. Probl. geometrii, 9, VINITI, M., 1979 | MR | Zbl