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On k ‐type null Cartan slant helices in Minkowski 3‐space
Author(s) -
Nešović Emilija,
Koç Öztürk Esra Betül,
Öztürk Ufuk
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5221
Subject(s) - minkowski space , mathematics , geodesic , curvature , torsion (gastropod) , type (biology) , pure mathematics , mathematical analysis , principal curvature
In this paper, we define k ‐type null Cartan slant helices lying on a timelike surface in Minkowski spaceE 1 3according to their Darboux frame, where k ∈ {0,1,2}. We study these helices by using their geodesic curvature, normal curvature , and geodesic torsion. Additionally, we determine their axes and consider the special cases when the mentioned helices are geodesic curves and principal curvature lines lying on the timelike surface inE 1 3 . Furthermore, we obtain some interesting relations between 0‐, 1‐, and 2‐type null Cartan slant helices.