THE RELATIONS BETWEEN NULL GEODESIC CURVES AND TIMELIKE RULED SURFACES IN DUAL LORENTZIAN SPACE D-1(3)


Unluturk Y., YILMAZ S., EKİCİ C.

HONAM MATHEMATICAL JOURNAL, cilt.41, sa.1, ss.185-195, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.5831/hmj.2018.40.3.185
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.185-195
  • Anahtar Kelimeler: Lorentz space, null geodesic curve, Blaschke frame, Darboux frame
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this work, we study the conditions between null geodesic curves and timelike ruled surfaces in dual Lorentzian space. For this study, we establish a system of differential equations characterizing timelike ruled surfaces in dual Lorentzian space by using the invariant quantities of null geodesic curves on the given ruled surfaces. We obtain the solutions of these systems for special cases. Regarding to these special solutions, we give some results of the relations between null geodesic curves and timelike ruled surfaces in dual Lorentzian space.