Differential equations characterizing timelike and spacelike curves of constant breadth in minkowski 3-space E3 1

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Önder M., KOCAYİĞİT H., Candan E.

Journal of the Korean Mathematical Society, cilt.48, sa.4, ss.849-866, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.4134/jkms.2011.48.4.849
  • Dergi Adı: Journal of the Korean Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.849-866
  • Anahtar Kelimeler: Minkowski 3-space, timelike curve, spacelike curve, constant breadth curve
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we give the differential equations characterizing the timelike and spacelike curves of constant breadth in Minkowski 3-space E3 1. Furthermore, we give a criterion for a timelike or spacelike curve to be the curve of constant breadth in E3 1. As an example, the obtained results are applied to the case ρ = const. and k2= const., and are discussed. © 2011 The Korean Mathematical Society.