Geodesic
On the Sphericity of the Subgroup $\operatorname{PSL}_2(\mathbb{R})$ in the Group of Diffeomorphisms of the Circle
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 91-94.

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It is shown that the group $\operatorname{PSL}_2(\mathbb{R})$ is a spherical subgroup in the group of $C^3$-diffeomorphisms of the circle.
Keywords: spherical subgroup, spherical representation, group of diffeomorphisms of the circle, Schwarzian derivative. 
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Yu. A. Neretin. On the Sphericity of the Subgroup $\operatorname{PSL}_2(\mathbb{R})$ in the Group of Diffeomorphisms of the Circle. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 91-94. http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a9/

[1] D. B. Fuks, Kogomologii beskonechnomernykh algebr Li, Nauka, M., 1984 | MR

[2] R. E. Howe, C. C. Moore, J. Funct. Anal., 32:1 (1979), 72–96 | DOI | MR | Zbl

[3] H. Inci, T. Kappeler, P. Topalov, Mem. Amer. Math. Soc., 226, no. 1062, 2013 | MR

[4] Yu. A. Neretin, Dokl. AN SSSR, 294:1 (1987), 37–41 | MR | Zbl

[5] Yu. A. Neretin, Kategorii simmetrii i beskonechnye gruppy, URSS, M., 1998

[6] V. Ovsienko, S. Tabachnikov, Proektivnaya differentsialnaya geometriya. Staroe i novoe, MTsNMO, M., 2008