Space curves of constant breadth in Minkowski 3-space

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KOCAYİĞİT H., Önder M.

Annali di Matematica Pura ed Applicata, cilt.192, sa.5, ss.805-814, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 192 Sayı: 5
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s10231-011-0247-5
  • Dergi Adı: Annali di Matematica Pura ed Applicata
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.805-814
  • Anahtar Kelimeler: Minkowski 3-space, Spacelike curve, Timelike curve, Curve of constant breadth
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.