New results concerning Cartan null and pseudo null curves in Minkowski 3-space

CAMCI Ç., Uçum A., İlarslan K.

Journal of Geometry, cilt.114, sa.2, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 114 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s00022-023-00676-4
  • Dergi Adı: Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Anahtar Kelimeler: Flat surface, Minimal surface, Minkowski 3-space, Null curves, Parallel Frenet frames, Pseudo null curves
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

In this study, we focus on Cartan null and pseudo null curves in Minkowski 3-space E13 . Firstly we define Cartan null and pseudo null equivalent curves and give the related examples. Then we give a construction method for Cartan null curves and it is shown that every Cartan null curve can be obtained from a timelike curve lying in the Lorentz plane in E13 . Also a construction method is given for pseudo null curves and we show that all pseudo null curves lie in a lightlike plane in E13 . Finally we define a new surface in E13 called “surface of pseudo null curves” and we obtain the geometric properties of such surfaces.