Rotational conformal transformations of the Lobachevskij plane
type: Item
instance of: scholarly article
title: Rotational conformal transformations of the Lobachevskij plane
zbMATH Open document ID: 1021.53010
author: S. G. Leĭko
author: A. V. Vinnik
published in: Russian Mathematics
publication date: 2002-07-16T00:00:00Z
review text: In a two-dimensional Riemannian space of non-zero Gaussian curvature a curve whose geodesic curvature is proportional to the Gaussian curvature is an isoperimetric rotational extremal (IRE). A transformation of a region of the space which sends geodesic curves of IRE's is said to be rotational. The authors prove that the group of rotational conformal transformations of the Lobachevskij plane coincides with the Möbius group of conformal transformations of this plane.
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 1758702
zbMATH Keywords: isoperimetric rotational extremal
zbMATH Keywords: rotational conformal transformation
zbMATH Keywords: Möbius group
reviewed by: Włodzimierz Waliszewski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1758702