Space curves of constant breadth in Minkowski 3-space

Kocayiǧit H.; Önder M.

Space curves of constant breadth in Minkowski 3-space

Date

2013

Authors

Kocayiǧit H.

Önder M.

Abstract

In this paper, we study spacelike and timelike curves of constant breadth in Minkowski 3-space. We show that in Minkowski 3-space spacelike and timelike curves of constant breadth are normal, helices, and spherical curves in some special cases. Furthermore, we give that the total torsion of a closed spacelike curve of constant breadth is zero while the total torsion of a simple closed timelike curve is equal to 2πn, (n ∈ Z). © 2012 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag.