This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light causal characteristics, we give some representations curves. Additionally, proved that tangential function every curve fulfills a third-order differential equation. Then, number well-known rectifying, Lorentzian, hyperbolic are consequences this

We study nonorientable maximal surfaces in Lorentz-Minkowski 3-space. prove some existence results for of this kind with high genus and one end.

By using the Darboux frame |?, ?, ?| of a non-null curve lying on timelike surface in Minkowski 3-space, where ? is unit tangent vector curve, spacelike normal field restricted to and = ?? we define relatively normal-slant helices as curves satisfying condition that scalar product fixed spanning their axis non-constant constant. We give necessary sufficient conditions for be helices. consider s...

Salkowski [11], one century ago, introduced a family of curves with constant curvature but non-constant torsion (Salkowski curves) and a family of curves with constant torsion but non-constant curvature (anti-Salkowski curves) in Euclidean 3-space E. In this paper, we adapt definition of such curves to time-like curves in Minkowski 3-space E31. Thereafter, we introduce an explicit parametrizati...

Theoretical and observational challenges to standard cosmology such as the cosmological constant problem tensions between model parameters inferred from different observations motivate development search of new physics. A less radical approach venturing beyond is simple mathematical reformulation our theoretical frameworks underlying it. While leaving physical measurements unaffected, this can ...