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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 2013–2018
DOI: https://doi.org/10.33048/semi.2019.16.144
(Mi semr1185)
 

Real, complex and functional analysis

Rectangle as a generalized angle

V. V. Aseev

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
References:
Abstract: 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, Ptolemaic space, generalized angle, mapping of bounded angular distortion, set-valued mapping.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences 1.1.2., project № 0314-2016-0007
The work is supported by the program of fundamental scientific researches of the SB RAS No. 1.1.2., project No. 0314-2016-0007.
Received April 2, 2019, published December 26, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C65
Language: English
Citation: V. V. Aseev, “Rectangle as a generalized angle”, Sib. Èlektron. Mat. Izv., 16 (2019), 2013–2018
Citation in format AMSBIB
\Bibitem{Ase19}
\by V.~V.~Aseev
\paper Rectangle as a generalized angle
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 2013--2018
\mathnet{http://mi.mathnet.ru/semr1185}
\crossref{https://doi.org/10.33048/semi.2019.16.144}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000509877200001}
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