On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-space
type: Item
instance of: scholarly article
title: On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-space
zbMATH Open document ID: 0978.53038
author: Yusuf Yayli
published in: Mathematical \& Computational Applications
publication date: 2002-02-07T00:00:00Z
review text: Summary: We obtain the distribution parameter of a spacelike ruled surface generated by a spacelike straight line moving along a spacelike curve. We show that the spacelike ruled surface is developable if and only if the base curve is a helix (inclined curve). Furthermore, some theorems are given for the special cases where the line is the tangent, the principal normal, or the binormal of the base curve.
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 1545876
zbMATH Keywords: developable surface
zbMATH Keywords: inclined curve
zbMATH Keywords: spacelike ruled surface
zbMATH Keywords: helix
MaRDI profile type: Publication
full work available at URL: mca5010049
OpenAlex ID: W2400706512
DOI: 10.3390/MCA5010049
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description: scientific article; zbMATH DE number 1545876