EN
Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space
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.
Anahtar Kelimeler
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).
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
5 Şubat 2019
Gönderilme Tarihi
11 Ocak 2019
Kabul Tarihi
30 Ocak 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 1 Sayı: 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, ve 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 (01 Şubat 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, ve E. Kasap, “Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space”, HSJG, c. 1, sy 1, ss. 17–23, Şub. 2019, [çevrimiçi]. Erişim adresi: 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 (01 Şubat 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, vd. “Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space”. Hagia Sophia Journal of Geometry, c. 1, sy 1, Şubat 2019, ss. 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]. 01 Şubat 2019;1(1):17-23. Erişim adresi: https://izlik.org/JA29CM58EE