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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1998, Volume 5, Number 3/4, Pages 304–314 (Mi jmag443)  
The principal vector of line local distortion under the conformal mapping and its application

M. A. Shakirov

Saint-Petersburg State Technical University
Full-text PDF (224 kB)
Abstract: A schlicht conformal mappings have the following geometrical property. A curvatures of lines which is obtained under the mapping of straight line bundle is determined completely by a one vector. This property is utilized for explicit description of electromagnetic powers which act on charges and currents in a flat problems of electrodynamics.
Received: 14.10.1996
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Shakirov, “The principal vector of line local distortion under the conformal mapping and its application”, Mat. Fiz. Anal. Geom., 5:3/4 (1998), 304–314
Citation in format AMSBIB
\Bibitem{Sha98}
\by M.~A.~Shakirov
\paper The principal vector of line local distortion under the conformal mapping and its application
\jour Mat. Fiz. Anal. Geom.
\yr 1998
\vol 5
\issue 3/4
\pages 304--314
\mathnet{http://mi.mathnet.ru/jmag443}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1668953}
\zmath{https://zbmath.org/?q=an:0955.30009}
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