RULED SURFACES WITH CONSTANT SLOPE RULING ACCORDING TO DARBOUX FRAME IN MINKOWSKI SPACE

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YAVUZ A., YAYLI Y.

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, cilt.18, sa.6, ss.900-919, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.28924/2291-8639-18-2020-900
  • Dergi Adı: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.900-919
  • Anahtar Kelimeler: ruled surface, surface with constant slope, Darboux frame, Minkowski space
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, three different types of ruled surfaces are defined. The generating lines of these ruled surfaces are given by points on a curve X in Minkowski Space, while the position vector of X have constant slope with respect to the planes (t, y), (t, n), (n, y). It is observed that the Lorentzian casual characters of the ruled surfaces with constant slope can be timelike or spacelike. Furthermore, striction lines of these surfaces are obtained and investigated under various special cases. Finally, new investigations are obtained on the base curve of these types of ruled surfaces.