Geodesic
M\"obius and sub-M\"obius structures
Algebra i analiz, Tome 28 (2016) no. 5, pp. 1-20.

Voir la notice de l'article provenant de la source Math-Net.Ru

The notion of a sub-Möbius structure is introduced, and necessary and sufficient conditions are found under which a sub-Möbius structure is a Möbius structure. It is shown that on the boundary at infinity $\partial _{\infty } Y$ of every Gromov hyperbolic space $Y$ there is a canonical sub-Möbius structure invariant under the isometries of $Y$ and such that the sub-Möbius topology on $\partial _{\infty } Y$ coincides with the standard one.
Keywords: Möbius structure, cross-ratio, hyperbolic space. 
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     title = {M\"obius and {sub-M\"obius} structures},
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     url = {http://geodesic.mathdoc.fr/item/AA_2016_28_5_a0/}
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S. V. Buyalo. M\"obius and sub-M\"obius structures. Algebra i analiz, Tome 28 (2016) no. 5, pp. 1-20. http://geodesic.mathdoc.fr/item/AA_2016_28_5_a0/

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