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

Yıl 2019, Cilt: 1 Sayı: 1, 17 - 23, 05.02.2019

Öz

In this work we aim to find a surface family possessing the natural lift of a given spacelike curve with timelike
binormal as a geodesic in Minkowski 3-space. We express necessary and sufficient conditions for the given
curve such that its natural lift is a geodesic on any member of the surface family. Finally, we illustrate the method
with some examples.

Kaynakça

  • 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).
Yıl 2019, Cilt: 1 Sayı: 1, 17 - 23, 05.02.2019

Öz

Kaynakça

  • 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).
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Ergin Bayram 0000-0003-2633-0991

Evren Ergün

Emin Kasap

Yayımlanma Tarihi 5 Şubat 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 1 Sayı: 1

Kaynak Göster

APA Bayram, E., Ergün, E., & Kasap, E. (2019). Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space. Hagia Sophia Journal of Geometry, 1(1), 17-23.