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

Yıl 2019, , 1082 - 1089, 01.06.2019

Evren Ergün , Ergin Bayram

https://doi.org/10.21597/jist.486275
Cited By: 3

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.

Anahtar Kelimeler

Yüzey Ailesi Tabii Lift Asimptotik Eğri 3-Boyutlu Minkowski Uzayı

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, , 1082 - 1089, 01.06.2019

Evren Ergün , Ergin Bayram

https://doi.org/10.21597/jist.486275
Cited By: 3

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.

Anahtar Kelimeler

Surface Family Natural Lift Asymptotic Curve Minkowski 3-Space

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

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.

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Hypersurface families with common non-null geodesic in Minkowski 4-space
Advanced Studies: Euro-Tbilisi Mathematical Journal
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Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group
Cumhuriyet Science Journal
https://doi.org/10.17776/csj.975670