Araştırma Makalesi
BibTex RIS Kaynak Göster

3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi

Yıl 2019, Cilt: 9 Sayı: 2, 1082 - 1089, 01.06.2019
https://doi.org/10.21597/jist.486275

Öz

 timelike binormalli spacelike bir
eğri,
 ise  nın tabii lifti olsun. Bu
çalışmada, 3 boyutlu Minkowski uzayında
 yi ortak asimptotik eğri kabul
eden yüzey ailesi elde edildi.
 nin oluşturulan yüzeyler üzerinde
asimptotik eğri olması için gerekli şartlar bulundu. Bazı örnekler verildi.

Kaynakça

  • Bayram E, Güler F, Kasap E, 2012. Parametric representation of a surface pencil with a common asymptotic curve. Comput. Aided Des., 44: 637-643.
  • Ergün E, Bayram E, Kasap E, 2014. Surface pencil with a common line of curvature in Minkowski 3-space. Acta Math. Sin. (Engl. Ser.), 30 (12): 2103-2118.
  • Ergün E, Çalışkan M, 2011. On geodesic sprays In Minkowski 3-space. Int. J. Contem. Math. Sci., 6, (39): 1929-1933.
  • Ergün E, Bayram E, Kasap E, 2015. Surface Pencil with a Common Natural Line of Curvature Lift. Journal of Science and Arts, 4 (33): 321-328.
  • Ergün E, Bayram E, 2016. Surface Family with a Common Natural Geodesic Lift. International J.Math. Combin., 1: 34-41.
  • Bayram E, Ergün E, 2016. Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. CBU Journal of Science, 12 (2): 209-214.
  • Kasap E, Akyıldız FT, Orbay K, 2008. A generalization of surfaces family with commonspatial geodesic. Appl. Math. Comput., 201: 781-789.
  • Li CY, Wang RH, Zhu CG, 2011. Parametric representation of a surface pencil with a common line of curvature. Comput. Aided Des., 43 (9): 1110-1117.
  • O'Neill B, 1983. Semi-Riemannian Geometry With Applications to Relativity. Academic Press, New York.
  • Önder M, Uğurlu HH, 2013. Frenet frames and invariants of timelike ruled surfaces. Ain Shams Engineering Journal, 4: 502-513.
  • Ratcliffe JG, 1994. Foundations of Hyperbolic Manifolds. Springer-Verlag, New York.
  • Walrave J, 1995. Curves and surfaces in Minkowski space. PhD. Thesis, K. U. Leuven Faculteit Der Wetenschappen.
  • Wang GJ, Tang K, Tai CL, 2004. Parametric representation of a surface pencil with a common spatial geodesic. Comput. Aided Des., 36 (5): 447-59.

Surface Family With a Common Natural Asymptotic Lift of a Spacelike Curve with Timelike Binormal in Minkowski 3-Space

Yıl 2019, Cilt: 9 Sayı: 2, 1082 - 1089, 01.06.2019
https://doi.org/10.21597/jist.486275

Öz

Let   be a spacelike curve with timelike binormal and   be its natural lift. In this work, we find surfaces accepting   as an asymptotic curve in  . We obtain sufficient constraints such that   is an asymptotic curve on the constructed surface. We present some illustrative examples.

Kaynakça

  • Bayram E, Güler F, Kasap E, 2012. Parametric representation of a surface pencil with a common asymptotic curve. Comput. Aided Des., 44: 637-643.
  • Ergün E, Bayram E, Kasap E, 2014. Surface pencil with a common line of curvature in Minkowski 3-space. Acta Math. Sin. (Engl. Ser.), 30 (12): 2103-2118.
  • Ergün E, Çalışkan M, 2011. On geodesic sprays In Minkowski 3-space. Int. J. Contem. Math. Sci., 6, (39): 1929-1933.
  • Ergün E, Bayram E, Kasap E, 2015. Surface Pencil with a Common Natural Line of Curvature Lift. Journal of Science and Arts, 4 (33): 321-328.
  • Ergün E, Bayram E, 2016. Surface Family with a Common Natural Geodesic Lift. International J.Math. Combin., 1: 34-41.
  • Bayram E, Ergün E, 2016. Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. CBU Journal of Science, 12 (2): 209-214.
  • Kasap E, Akyıldız FT, Orbay K, 2008. A generalization of surfaces family with commonspatial geodesic. Appl. Math. Comput., 201: 781-789.
  • Li CY, Wang RH, Zhu CG, 2011. Parametric representation of a surface pencil with a common line of curvature. Comput. Aided Des., 43 (9): 1110-1117.
  • O'Neill B, 1983. Semi-Riemannian Geometry With Applications to Relativity. Academic Press, New York.
  • Önder M, Uğurlu HH, 2013. Frenet frames and invariants of timelike ruled surfaces. Ain Shams Engineering Journal, 4: 502-513.
  • Ratcliffe JG, 1994. Foundations of Hyperbolic Manifolds. Springer-Verlag, New York.
  • Walrave J, 1995. Curves and surfaces in Minkowski space. PhD. Thesis, K. U. Leuven Faculteit Der Wetenschappen.
  • Wang GJ, Tang K, Tai CL, 2004. Parametric representation of a surface pencil with a common spatial geodesic. Comput. Aided Des., 36 (5): 447-59.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Konular Matematik
Bölüm Matematik / Mathematics
Yazarlar

Evren Ergün 0000-0002-3831-5310

Ergin Bayram 0000-0003-2633-0991

Yayımlanma Tarihi 1 Haziran 2019
Gönderilme Tarihi 21 Kasım 2018
Kabul Tarihi 8 Şubat 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 9 Sayı: 2

Kaynak Göster

APA Ergün, E., & Bayram, E. (2019). 3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi. Journal of the Institute of Science and Technology, 9(2), 1082-1089. https://doi.org/10.21597/jist.486275
AMA Ergün E, Bayram E. 3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi. Iğdır Üniv. Fen Bil Enst. Der. Haziran 2019;9(2):1082-1089. doi:10.21597/jist.486275
Chicago Ergün, Evren, ve Ergin Bayram. “3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi”. Journal of the Institute of Science and Technology 9, sy. 2 (Haziran 2019): 1082-89. https://doi.org/10.21597/jist.486275.
EndNote Ergün E, Bayram E (01 Haziran 2019) 3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi. Journal of the Institute of Science and Technology 9 2 1082–1089.
IEEE E. Ergün ve E. Bayram, “3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi”, Iğdır Üniv. Fen Bil Enst. Der., c. 9, sy. 2, ss. 1082–1089, 2019, doi: 10.21597/jist.486275.
ISNAD Ergün, Evren - Bayram, Ergin. “3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi”. Journal of the Institute of Science and Technology 9/2 (Haziran 2019), 1082-1089. https://doi.org/10.21597/jist.486275.
JAMA Ergün E, Bayram E. 3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi. Iğdır Üniv. Fen Bil Enst. Der. 2019;9:1082–1089.
MLA Ergün, Evren ve Ergin Bayram. “3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi”. Journal of the Institute of Science and Technology, c. 9, sy. 2, 2019, ss. 1082-9, doi:10.21597/jist.486275.
Vancouver Ergün E, Bayram E. 3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi. Iğdır Üniv. Fen Bil Enst. Der. 2019;9(2):1082-9.