Geodesic
Functional equations in geometry of two sets
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2010), pp. 64-72

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

We solve a functional equation connected with deformations of the canonical form of a metric function giving on one-dimensional manifolds the geometry of two sets (physical structure) of rank (2,2). We study four types of such deformations.
Keywords: functional equation, geometry of two sets (physical structure), deformation of metric function. 
G. G. Mikhailichenko. Functional equations in geometry of two sets. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2010), pp. 64-72. http://geodesic.mathdoc.fr/item/IVM_2010_7_a5/
@article{IVM_2010_7_a5,
     author = {G. G. Mikhailichenko},
     title = {Functional equations in geometry of two sets},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--72},
     year = {2010},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_7_a5/}
}
TY  - JOUR
AU  - G. G. Mikhailichenko
TI  - Functional equations in geometry of two sets
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2010
SP  - 64
EP  - 72
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/IVM_2010_7_a5/
LA  - ru
ID  - IVM_2010_7_a5
ER  - 
%0 Journal Article
%A G. G. Mikhailichenko
%T Functional equations in geometry of two sets
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2010
%P 64-72
%N 7
%U http://geodesic.mathdoc.fr/item/IVM_2010_7_a5/
%G ru
%F IVM_2010_7_a5

[1] Mikhailichenko G. G., “Fenomenologicheskaya i gruppovaya simmetrii v geometrii dvukh mnozhestv (teorii fizicheskikh struktur)”, DAN SSSR, 284:1 (1985), 39–43 | MR

[2] Kulakov Yu. I., “O novom vide simmetrii, lezhaschei v osnovanii fizicheskikh teorii fenomenologicheskogo tipa”, DAN SSSR, 201:3 (1971), 570–572

[3] Kulakov Yu. I., “Matematicheskaya formulirovka teorii fizicheskikh struktur”, Sib. matem. zhurn., 12:5 (1971), 1142–1145 | MR | Zbl

[4] Mikhailichenko G. G., Muradov R. M., Fizicheskie struktury kak geometrii dvukh mnozhestv, GAGU, Gorno-Altaisk, 2008

[5] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatlit, M., 1963 | MR