Minimal surfaces in \(R^ 5\) the Gauss image of which has constant curvature
type: Item
instance of: scholarly article
title: Minimal surfaces in \(R^ 5\) the Gauss image of which has constant curvature
zbMATH Open document ID: 0546.53007
DOI: 10.1007/BF01139957
author: L. A. Masaltsev
published in: Mathematical Notes
publication date: 1984-01-01T00:00:00Z
review text: The author proves that if S is a minimal surface in \(R^ 5\) such that its Gauss image is of constant curvature \(\hat K\), then \(\hat K\) is 1,2 or 1/2. S is characterized in each of these three cases.
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 3870123
zbMATH Keywords: minimal surface
zbMATH Keywords: Gauss image
zbMATH Keywords: constant curvature
reviewed by: Stefka Hineva
MaRDI profile type: Publication
cites work: The geometry of the generalized Gauss map
cites work: Isometric imbedding of complex manifolds
cites work: Some intrinsic characterizations of minimal surfaces
description: scientific article; zbMATH DE number 3870123