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

Year 2019, , 1082 - 1089, 01.06.2019

Evren Ergün , Ergin Bayram

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

Abstract

 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.

Keywords

Yüzey Ailesi Tabii Lift Asimptotik Eğri 3-Boyutlu Minkowski Uzayı

References

  • 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

Year 2019, , 1082 - 1089, 01.06.2019

Evren Ergün , Ergin Bayram

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

Abstract

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.

Keywords

Surface Family Natural Lift Asymptotic Curve Minkowski 3-Space

References

  • 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.
There are 13 citations in total.

Details

Primary Language Turkish
Subjects Mathematical Sciences
Journal Section Matematik / Mathematics
Authors

Evren Ergün 0000-0002-3831-5310

Ergin Bayram 0000-0003-2633-0991

Publication Date June 1, 2019
Submission Date November 21, 2018
Acceptance Date February 8, 2019
Published in Issue Year 2019

Cite

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. June 2019;9(2):1082-1089. doi:10.21597/jist.486275
Chicago Ergün, Evren, and 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, no. 2 (June 2019): 1082-89. https://doi.org/10.21597/jist.486275.
EndNote Ergün E, Bayram E (June 1, 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 and E. Bayram, “3-Boyutlu Minkowski Uzayında Timelike Binormalli Spacelike Eğrinin Tabii Liftini Asimptotik Kabul Eden Yüzey Ailesi”, Iğdır Üniv. Fen Bil Enst. Der., vol. 9, no. 2, pp. 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 (June 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 and 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, vol. 9, no. 2, 2019, pp. 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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