Geodesic
On groups of diffeomorphisms preserving non-degenerate analytic covector fields
Sbornik. Mathematics, Tome 186 (1995) no. 5, pp. 741-751 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider analytic covector fields on manifolds of even dimension. A field is called non-degenerate if the exterior differential of the corresponding 1-form is a non-degenerate symplectic structure. It is shown that the groups of diffeomorphisms preserving such fields are finite-dimensional and an estimate of their dimension is given. 
@article{SM_1995_186_5_a6,
     author = {M. A. Parinov},
     title = {On groups of diffeomorphisms preserving non-degenerate analytic covector fields},
     journal = {Sbornik. Mathematics},
     pages = {741--751},
     year = {1995},
     volume = {186},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_5_a6/}
}
TY  - JOUR
AU  - M. A. Parinov
TI  - On groups of diffeomorphisms preserving non-degenerate analytic covector fields
JO  - Sbornik. Mathematics
PY  - 1995
SP  - 741
EP  - 751
VL  - 186
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/SM_1995_186_5_a6/
LA  - en
ID  - SM_1995_186_5_a6
ER  - 
%0 Journal Article
%A M. A. Parinov
%T On groups of diffeomorphisms preserving non-degenerate analytic covector fields
%J Sbornik. Mathematics
%D 1995
%P 741-751
%V 186
%N 5
%U http://geodesic.mathdoc.fr/item/SM_1995_186_5_a6/
%G en
%F SM_1995_186_5_a6
M. A. Parinov. On groups of diffeomorphisms preserving non-degenerate analytic covector fields. Sbornik. Mathematics, Tome 186 (1995) no. 5, pp. 741-751. http://geodesic.mathdoc.fr/item/SM_1995_186_5_a6/

[1] Parinov M. A., Zaitsev G. A., “Simmetrii v klassicheskoi teorii elektromagnitnogo polya”, Teoretiko-gruppovye metody v fizike, Tr. mezhdunarodnogo seminara, T. 1, M., 1980, 211–217

[2] Parinov M. A., O gruppe, opredelyaemoi nevyrozhdennym vektornym polem, Dep. v VINITI 18.10.79. No 3608-79, Ivanovo, 1979

[3] Parinov M. A., Simplekticheskie i potentsialnye struktury elektromagnitnykh polei i ikh ispolzovanie dlya polucheniya pervykh integralov uravnenii dvizheniya Lorentsa, Dis. ...kand. fiz.-matem. nauk, IvTI, Ivanovo, 1982

[4] Krein S. G., Lineinye uravneniya v banakhovom prostranstve, Nauka, M., 1971 | MR

[5] Ganning R., Rossi Kh., Analiticheskie funktsii mnogikh kompleksnykh peremennykh, Mir, M., 1969 | MR

[6] Kurant R., Uravneniya s chastnymi proizvodnymi, Mir, M., 1964 | MR

[7] Pontryagin L. S., Nepreryvnye gruppy, GITKhL, M., 1954 | MR

[8] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, T. 1, Nauka, M., 1981