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.

UDC: 514.752.44:514.772:517.548

MSC: 53A05, 30C62

Received October 22, 2016, published May 29, 2018

DOI: 10.17377/semi.2018.15.052

Bibliographic databases:

•