Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space

Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space

In this work we aim to find a surface family possessing the natural lift of a given spacelike curve with timelike

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  • O'Neill, B.: Semi-Riemannian Geometry With Applications to Relativity, Academic Press, New York, 1983.
  • Ratcliffe, J.G.: Foundations of Hyperbolic Manifolds, Springer-Verlag, New York, 1994.
  • Önder M., Uğurlu H.H., Frenet frames and invariants of timelike ruled surfaces, Ain Shams Engineering Journal, 4, 502-513 (2013).
  • Walrave J. 1995, Curves and surfaces in Minkowski space, PhD. Thesis, K. U. Leuven Faculteit Der Wetenschappen.
  • Ergün, E., Çalışkan, M, On geodesic sprays In Minkowski 3-space, Int. J. Contem. Math. Sci., 6, 39, 1929-1933 (2011).