Curvature of groups of diffeomorphisms preserving the measure of the $2$-sphere
Funkcionalʹnyj analiz i ego priloženiâ, Tome 13 (1979) no. 3, pp. 23-27
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@article{FAA_1979_13_3_a2,
author = {A. M. Lukatskii},
title = {Curvature of groups of diffeomorphisms preserving the measure of the $2$-sphere},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {23--27},
year = {1979},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1979_13_3_a2/}
}
A. M. Lukatskii. Curvature of groups of diffeomorphisms preserving the measure of the $2$-sphere. Funkcionalʹnyj analiz i ego priloženiâ, Tome 13 (1979) no. 3, pp. 23-27. http://geodesic.mathdoc.fr/item/FAA_1979_13_3_a2/
[1] Arnold V.I., “Sur la geometrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits”, Ann. Inst. Fourier, XVI:1 (1966), 319–361 | DOI | MR
[2] Arnold V.I., Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1974 | MR
[3] Vilenkin N.Ya., Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1965 | MR
[4] Kirillov A.A., “Predstavleniya gruppy vraschenii m-mernogo evklidova prostranstva sfericheskimi vektornymi polyami”, DAN SSSR, 116:4 (1957), 538–541 | MR | Zbl