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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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