EN
Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space
Abstract
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.
Keywords
References
- 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).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
February 5, 2019
Submission Date
January 11, 2019
Acceptance Date
January 30, 2019
Published in Issue
Year 2019 Volume: 1 Number: 1
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. https://izlik.org/JA29CM58EE
AMA
1.Bayram E, Ergün E, Kasap E. Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space. HSJG. 2019;1(1):17-23. https://izlik.org/JA29CM58EE
Chicago
Bayram, Ergin, Evren Ergün, and Emin Kasap. 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. https://izlik.org/JA29CM58EE.
EndNote
Bayram E, Ergün E, Kasap E (February 1, 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.
IEEE
[1]E. Bayram, E. Ergün, and E. Kasap, “Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space”, HSJG, vol. 1, no. 1, pp. 17–23, Feb. 2019, [Online]. Available: https://izlik.org/JA29CM58EE
ISNAD
Bayram, Ergin - Ergün, Evren - Kasap, Emin. “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 (February 1, 2019): 17-23. https://izlik.org/JA29CM58EE.
JAMA
1.Bayram E, Ergün E, Kasap E. Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space. HSJG. 2019;1:17–23.
MLA
Bayram, Ergin, et al. “Surface Family With a Common Natural Geodesic Lift of a Spacelike Curve With Timelike Binormal in Minkowski 3-Space”. Hagia Sophia Journal of Geometry, vol. 1, no. 1, Feb. 2019, pp. 17-23, https://izlik.org/JA29CM58EE.
Vancouver
1.Ergin Bayram, Evren Ergün, Emin Kasap. Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space. HSJG [Internet]. 2019 Feb. 1;1(1):17-23. Available from: https://izlik.org/JA29CM58EE