Projective equivalence of smooth functions on a~plane
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2013), pp. 69-71.

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

In this paper we find differential invariants for the action of the projective group on the space of smooth functions on the plane and propose a classification of orbits of this action.
Keywords: projective group, differential invariant
Mots-clés : jet space.
@article{IVM_2013_12_a5,
     author = {P. V. Bibikov},
     title = {Projective equivalence of smooth functions on a~plane},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {69--71},
     publisher = {mathdoc},
     number = {12},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_12_a5/}
}
TY  - JOUR
AU  - P. V. Bibikov
TI  - Projective equivalence of smooth functions on a~plane
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 69
EP  - 71
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_12_a5/
LA  - ru
ID  - IVM_2013_12_a5
ER  - 
%0 Journal Article
%A P. V. Bibikov
%T Projective equivalence of smooth functions on a~plane
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 69-71
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_12_a5/
%G ru
%F IVM_2013_12_a5
P. V. Bibikov. Projective equivalence of smooth functions on a~plane. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2013), pp. 69-71. http://geodesic.mathdoc.fr/item/IVM_2013_12_a5/

[1] Bibikov P. V., Lychagin V. V., “$\mathrm{GL}_2(\mathbb C)$-orbits of binary rational forms”, Lobachevskii J. Math., 32:1 (2011), 95–102 | DOI | MR | Zbl

[2] Bibikov P. V., “Klassifikatsiya ratsionalnykh funktsii v simplekticheskikh i metricheskikh prostranstvakh”, Izv. vuzov. Matem., 2013, no. 4, 3–9 | Zbl

[3] Bibikov P. V., “On affine classification of functions and foliations on the plane”, Lobachevskii J. Math., 33:2 (2012), 115–122 | DOI | MR | Zbl

[4] Alekseevskii D. V., Vinogradov A. M., Lychagin V. V., Osnovnye idei i ponyatiya differentsialnoi geometrii, Itogi nauki i tekhn. Sovrem. probl. mat. Fundam. napravleniya, 28, VINITI, M., 1988 | MR | Zbl

[5] Konovenko N. G., Lychagin V. V., “On projective classification of plane curves”, Global and Stochastic Anal., 1:2 (2011), 241–264