On immersions of two-dimensional metrics into Euclidean space \(E^ 4\)
type: Item
instance of: scholarly article
title: On immersions of two-dimensional metrics into Euclidean space \(E^ 4\)
zbMATH Open document ID: 0834.53009
author: Yu. A. Aminov
published in: Russian Mathematics
publication date: 1995-11-05T00:00:00Z
review text: A survey of results on flat immersion metrics into \(E^4\) is given. These immersions are represented in the form of surfaces with zero Gaussian torsion. The class of surfaces whose Gaussian curvature coincides with torsion \((k = \kappa)\) is presented. Immersions and bendings of a horocycle of Lobachevskij plane in a surface form in \(E^4\) are constructed.
Mathematics Subject Classification ID: 53A07
zbMATH DE Number: 795246
zbMATH Keywords: immersions into \(E^ 4\)
zbMATH Keywords: Lobachevskij space
zbMATH Keywords: flat immersion metrics
zbMATH Keywords: Gaussian torsion
reviewed by: Alexander A. Borisenko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 795246