Surfaces of a Euclidean space with helical or planar geodesics through a point
type: Item
instance of: scholarly article
title: Surfaces of a Euclidean space with helical or planar geodesics through a point
zbMATH Open document ID: 0791.53010
DOI: 10.1007/BF01759312
author: Young Ho Kim
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1994-02-07T00:00:00Z
review text: Helical curves are such with constant Frénet curvatures. Helical submanifolds are those, for which all geodesics are helical, and these were frequently studied. In the present paper the author assumes that only the geodesics through some fixed point are helical or planar, and obtains several classification results for low codimension.
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 495891
zbMATH Keywords: Blaschke manifold
zbMATH Keywords: Veronese
zbMATH Keywords: geodesic normal sections
reviewed by: Dirk Ferus
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 495891