Geodesic
Rectangle as a generalized angle
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 2013-2018

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In order to extend the notion of quasimöbius mapping to non-injective case the concept of generalized angle $\Psi = (A_1, A_2; B_1, B_2)$ with sides $A_1, A_2$ and vertices $B_1, B_2$ (the sets in a Ptolemaic space) has been employed. The value of a generalizes angle is defined through Ptolimaic characteristic of tetrads and is not easy to by calculated in general case. Here we present the geometric way of calculation in the case where the general angle $\Psi$ is a rectangle.
Keywords: quasimöbius mapping, quasiregular mapping, generalized angle, mapping of bounded angular distortion, set-valued mapping.
Mots-clés : Ptolemaic space 
@article{SEMR_2019_16_a145,
     author = {V. V. Aseev},
     title = {Rectangle as a generalized angle},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {2013--2018},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a145/}
}
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V. V. Aseev. Rectangle as a generalized angle. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 2013-2018. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a145/