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Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 658–676 (Mi semr943)  

Geometry and topology

Isothermic coordinates on irregular sewing surfaces

A. N. Kondrashov

Volgograd State University, University Prospect, 100, 400062, Volgograd, Russia

Abstract: In the paper we investigated of question about existence and uniqueness of isothermic coordinates on sewing surfaces in $\mathbb{R}^m$. The such surfaces is special case of irregular surfaces. We obtained the analog of the famous theorem of V.M. Miklukov (2004) for such surfaces.

Keywords: isothermic coordinates, sewing surfaces, sewing homeomorphisms.

DOI: https://doi.org/10.17377/semi.2018.15.052

Full text: PDF file (436 kB)
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Document Type: Article
UDC: 514.752.44:514.772:517.548
MSC: 53A05, 30C62
Received October 22, 2016, published May 29, 2018

Citation: A. N. Kondrashov, “Isothermic coordinates on irregular sewing surfaces”, Sib. Èlektron. Mat. Izv., 15 (2018), 658–676

Citation in format AMSBIB
\Bibitem{Kon18}
\by A.~N.~Kondrashov
\paper Isothermic coordinates on irregular sewing surfaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 658--676
\mathnet{http://mi.mathnet.ru/semr943}
\crossref{https://doi.org/10.17377/semi.2018.15.052}


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