Constant isotropic surfaces in 5-dimensional space forms
type: Item
instance of: scholarly article
title: Constant isotropic surfaces in 5-dimensional space forms
zbMATH Open document ID: 0669.53043
DOI: 10.1007/BF00572445
author: Kunio Sakamoto
published in: Geometriae Dedicata
publication date: 1989-01-01T00:00:00Z
review text: The author classifies complete, simply connected surfaces in a 5- dimensional real space form, which are constant \(\lambda\)-isotropic, i.e. \(\| \sec ond\) fundamental form (X,X)\(\| =\lambda\) for all unit tangent vectors X.
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4096316
zbMATH Keywords: isotropic surfaces
zbMATH Keywords: minimal surfaces
reviewed by: Dirk Ferus
MaRDI profile type: Publication
cites work: Stationary 2-type surfaces in a hypersphere
cites work: Minimal immersions of surfaces in Euclidean spheres
cites work: Minimal Surfaces by Moving Frames
cites work: Symmetric submanifolds of Euclidean space
cites work: Isotropic immersions
cites work: Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
cites work: Isotropic and Kähler Immersions
cites work: Constant Isotropic Submanifolds with 4-Planar Geodesics
cites work: Planar geodesic immersions
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description: scientific article; zbMATH DE number 4096316