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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     author = {Yu. A. Neretin},
     title = {On the {Sphericity} of the {Subgroup} $\operatorname{PSL}_2(\mathbb{R})$ in the {Group} of {Diffeomorphisms} of the {Circle}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
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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/