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Curvature of groups of diffeomorphisms preserving the measure of the 2-sphere

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Functional Analysis and Its Applications Aims and scope

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Literature Cited

  1. V. I. Arnol'd, "Sur la géometrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits," Ann. Inst. Fourier,16, No. 1, 319–361 (1966).

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  3. N. Ya. Vilenkin, Special Functions and the Theory of Group Representations [in Russian], Nauka, Moscow (1965).

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  4. A. A. Kirillov, "Representations of the rotation group of n-dimensional Euclidean space by means of spherical vector fields," Dokl. Akad. Nauk SSSR,116, No. 4, 538–541 (1957).

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Authors
  1. A. M. Lukatskii
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Additional information

"Informélektro" All-Union Scientific-Research Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 13, No. 3, pp. 23–27, July–September, 1979.

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Lukatskii, A.M. Curvature of groups of diffeomorphisms preserving the measure of the 2-sphere. Funct Anal Its Appl 13, 174–177 (1979). https://doi.org/10.1007/BF01077484

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  • DOI: https://doi.org/10.1007/BF01077484

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