On generalized spacelike Mannheim curves in Minkowski space-time. (English) Zbl 1381.53132

İlarslan, Kazım; Uçum, Ali; Nešović, Emilija

Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 86, No. 2, 249-258 (2016).

Summary: In this paper, by taking consideration of all possible causal characters of the plane spanned by \( \{B_{1}^{*},B_{2}^{*}\},\) we give the necessary and sufficient conditions for spacelike curves in \(\mathbb {E}_{1}^{4}\) to be generalized spacelike Mannheim curves in terms of their curvature functions.

MSC:

53C50	Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
53C40	Global submanifolds

Keywords:

Mannheim curve; Minkowski space-time; non-null curves; null curves

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