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Real, complex and functional analysis
Rectangle as a generalized angle
V. V. Aseev Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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.
Received April 2, 2019, published December 26, 2019
Citation:
V. V. Aseev, “Rectangle as a generalized angle”, Sib. Èlektron. Mat. Izv., 16 (2019), 2013–2018
Linking options:
https://www.mathnet.ru/eng/semr1185 https://www.mathnet.ru/eng/semr/v16/p2013
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Abstract page: | 211 | Full-text PDF : | 125 | References: | 22 |
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