Space curves of constant breadth in Minkowski 3-space

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KOCAYİĞİT H., Önder M.

Annali di Matematica Pura ed Applicata, vol.192, no.5, pp.805-814, 2013 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 192 Issue: 5
• Publication Date: 2013
• Doi Number: 10.1007/s10231-011-0247-5
• Journal Name: Annali di Matematica Pura ed Applicata
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.805-814
• Keywords: Minkowski 3-space, Spacelike curve, Timelike curve, Curve of constant breadth
• Open Archive Collection: AVESIS Open Access Collection
• Manisa Celal Bayar University Affiliated: Yes

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.