Year 2016,
Volume: 5 Issue: 10, 60 - 68, 06.06.2016
Abstract
In [2-4,8-9], the authors have characterized the spherical curves in different spaces.In this paper, we shall characterize the spherical curves according to modified orthogonal frame in Euclidean 3-space.
References
- M.D.Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey,1976.
- M.Bektas,M.Erg¨ut,D.Soylu,The Characterization of the Spherical Timelike Curves in 3-Dimensional Lorentzian Space, Bull. Malaysian Math. Soc., 21, 117-125, 1998.
- M.Petrovic-Torgasev, E.Sucurovic,Some Characterizations of The Lorentzian Spherical Timelike and Null Curves, Mat. Vesnik, 53, 21-27, 2001.
- N.Ayyildiz, A.C. C¨oken, A.Y¨ucesan, A Characterization of Dual Lorentzian Spherical Curves in The Dual Lorentzian Space, Taiwanese J. Math, 11(4), 999-1018, 2007.
- R.S. Milman, G.D. Parker, Elements of Differential Geometry, Prentice-Hall Inc., Englewood Clifs, New Jersey, 1977.
- T. Sasai, The Fundamental Theorem of Analytic Space Curves and Apparent Singularities of Fuchsian Differential Equations,Tohoku Math. Journ. 36, 17-24, 1984.
- U.Pekmen,S.Pasali, Some characterizations of Lorentzian Spherical Spacelike Curves, Math. Morav., 3, 33-37, 1999.
- Y. C.Wong, A global formulation of the condition for a curve to lie in a sphere, Monatsh.Math., 67, 363-365, 1963.
- Y.C.Wong, On an Explicit Characterization of Spherical Curves, Proc. Amer. Math. Soc., 34, 239-242, 1972.
Year 2016,
Volume: 5 Issue: 10, 60 - 68, 06.06.2016
Abstract
References
- M.D.Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey,1976.
- M.Bektas,M.Erg¨ut,D.Soylu,The Characterization of the Spherical Timelike Curves in 3-Dimensional Lorentzian Space, Bull. Malaysian Math. Soc., 21, 117-125, 1998.
- M.Petrovic-Torgasev, E.Sucurovic,Some Characterizations of The Lorentzian Spherical Timelike and Null Curves, Mat. Vesnik, 53, 21-27, 2001.
- N.Ayyildiz, A.C. C¨oken, A.Y¨ucesan, A Characterization of Dual Lorentzian Spherical Curves in The Dual Lorentzian Space, Taiwanese J. Math, 11(4), 999-1018, 2007.
- R.S. Milman, G.D. Parker, Elements of Differential Geometry, Prentice-Hall Inc., Englewood Clifs, New Jersey, 1977.
- T. Sasai, The Fundamental Theorem of Analytic Space Curves and Apparent Singularities of Fuchsian Differential Equations,Tohoku Math. Journ. 36, 17-24, 1984.
- U.Pekmen,S.Pasali, Some characterizations of Lorentzian Spherical Spacelike Curves, Math. Morav., 3, 33-37, 1999.
- Y. C.Wong, A global formulation of the condition for a curve to lie in a sphere, Monatsh.Math., 67, 363-365, 1963.
- Y.C.Wong, On an Explicit Characterization of Spherical Curves, Proc. Amer. Math. Soc., 34, 239-242, 1972.
There are 9 citations in total.
Details
| Authors | |
|---|---|
| Publication Date | June 6, 2016 |
| Published in Issue | Year 2016 Volume: 5 Issue: 10 |