Helical immersions and normal sections
type: Item
instance of: scholarly article
title: Helical immersions and normal sections
zbMATH Open document ID: 0572.53039
author: Yi Hong
author: C. S. Houh
published in: Kodai Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: The authors study the interplay between helical immersions and geodesic normal sections. They obtain in particular a classification of immersed surfaces in \(E^ 7\), which have constant curvature and geodesic normal sections. There is some overlap with recent work of Verheyen.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 3913205
zbMATH Keywords: harmonic spaces
zbMATH Keywords: helical immersions
zbMATH Keywords: geodesic normal sections
reviewed by: Dirk Ferus
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138037046
OpenAlex ID: W2088898912
cites work: Q4169382
cites work: Q5678153
cites work: Q3945159
cites work: Differential geometry of submanifolds with planar normal sections
cites work: Submanifolds with geodesic normal sections
cites work: Submanifolds in Euclidean space with simple geodesics
cites work: Q3679831
cites work: On a certain minimal immersion of a Riemannian manifold into a sphere
cites work: Helical immersions into a unit sphere
cites work: Q4720352
DOI: 10.2996/KMJ/1138037046
description: scientific article; zbMATH DE number 3913205