Isophote curves on spacelike surfaces in Lorentz-Minkowski space

Dogan F., YAYLI Y.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.14, sa.10, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 10
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s1793557121501801
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Isophote curve, the axis, spacelike surface, Darboux frame, geodesic, slant helix, CONSTANT ANGLE SURFACES
  • Ankara Üniversitesi Adresli: Evet

Özet

An isophote curve consists of a locus of surface points whose normal vectors make a constant angle with a fixed vector (the axis). In this paper, we define an isophote curve on a spacelike surface in Lorentz-Minkowski space E-1(3) and then find its axis as timelike and spacelike vectors via the Darboux frame. Besides, we give some relations between isophote curves and special curves on surfaces such as geodesic curves, asymptotic curves or lines of curvature.