CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES

Funda Yalınız A.; H.HILMI Hacısalıhoğlu

doi:10.1501/Commua1_0000000649

Year 2009, Volume: 58 Issue: 2, 11 - 29, 01.08.2009

Funda Yalınız A. H.HILMI Hacısalıhoğlu

https://doi.org/10.1501/Commua1_0000000649

Abstract

References

N. Ekmekci, H.H. Hacısaliho¼glu and K. ·Ilarslan. Harmonic Curvatures in Lorentzian Space. Bull. Malaysian Math. Sc. Soc. (Second Series) 23 (2000) 173-179.
N. Ekmekci and K. ·Ilarslan. Higher curvatures of a regular curve in Lorentzian space. Jour. of Inst. of Math. Comp. Sci. (Math. Ser.) Vol. 11. No.2 (1998) 97-102.
H.H. Hacısaliho¼glu and R. Öztürk. On the Characterization of Inclined Curves in En, I. Tensor, N.S. Vol. 64, pp.163-170.
H.Hilmi Hacısaliho¼glu, Diferensiyel Geometri, ·Inönü Üniv. Yayınları, Mat. 2, pp.227, (1973), Malatya, Turkey.
O’Neill, B. : Semi-Riemannian Geometry, with Applications to Relativity, Academic Press, New York, 19
J.K. Beem, P.E. Ehrlich and K.L. Easley, 1996. Global Lorentzian Geometry. Marcel Dekker Inc. New York, Second Edition.
H.H. Hacısaliho¼glu and R. Öztürk. On the Characterization of Inclined Curves in En, II. Tensor, N. S. Vol.64, pp. 163-170. Current address : A. Funda Yalınız :Dumlupınar University, Faculty of Science, Department of
Mathematics, Kütahya TURKEY., H.Hilmi. Hacısaliho¼glu:Ankara University, Faculty of Sciences
Dept. of Mathematics, 0610 Tando¼gan, Ankara, TURKEY E-mail address : fyaliniz@ dumlupinar.edu.tr, hacisali@science.ankara.edu.tr URL: http://math.science.ankara.edu.tr

CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES

Year 2009, Volume: 58 Issue: 2, 11 - 29, 01.08.2009

Funda Yalınız A. H.HILMI Hacısalıhoğlu

https://doi.org/10.1501/Commua1_0000000649

Abstract

In this study, we first calculate the higher ordered curvatures interms of higher ordered harmonic curvatures for the space-like curves in Ln.Thus, we give characterizations of inclined curves in Ln for space-like curves.Furthermore, we obtain the coordinates of the central point of the space-like curve’s osculating sphere. Then we calculate the higher ordered curvatures of the space-like curves in terms of the coordinates of the central point of it so sculating sphere. At the end, we give another characterization for inclined curves in Ln, in terms of these coordinates

Keywords

Lorentzian space, space-like curve, inclined curve, osculating sphere

References

N. Ekmekci, H.H. Hacısaliho¼glu and K. ·Ilarslan. Harmonic Curvatures in Lorentzian Space. Bull. Malaysian Math. Sc. Soc. (Second Series) 23 (2000) 173-179.
N. Ekmekci and K. ·Ilarslan. Higher curvatures of a regular curve in Lorentzian space. Jour. of Inst. of Math. Comp. Sci. (Math. Ser.) Vol. 11. No.2 (1998) 97-102.
H.H. Hacısaliho¼glu and R. Öztürk. On the Characterization of Inclined Curves in En, I. Tensor, N.S. Vol. 64, pp.163-170.
H.Hilmi Hacısaliho¼glu, Diferensiyel Geometri, ·Inönü Üniv. Yayınları, Mat. 2, pp.227, (1973), Malatya, Turkey.
O’Neill, B. : Semi-Riemannian Geometry, with Applications to Relativity, Academic Press, New York, 19
J.K. Beem, P.E. Ehrlich and K.L. Easley, 1996. Global Lorentzian Geometry. Marcel Dekker Inc. New York, Second Edition.
H.H. Hacısaliho¼glu and R. Öztürk. On the Characterization of Inclined Curves in En, II. Tensor, N. S. Vol.64, pp. 163-170. Current address : A. Funda Yalınız :Dumlupınar University, Faculty of Science, Department of
Mathematics, Kütahya TURKEY., H.Hilmi. Hacısaliho¼glu:Ankara University, Faculty of Sciences
Dept. of Mathematics, 0610 Tando¼gan, Ankara, TURKEY E-mail address : fyaliniz@ dumlupinar.edu.tr, hacisali@science.ankara.edu.tr URL: http://math.science.ankara.edu.tr

There are 9 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Funda Yalınız A. This is me H.HILMI Hacısalıhoğlu This is me
Publication Date	August 1, 2009
Published in Issue	Year 2009 Volume: 58 Issue: 2

Cite

APA	Yalınız A., F., & Hacısalıhoğlu, H. (2009). CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 58(2), 11-29. https://doi.org/10.1501/Commua1_0000000649
AMA	Yalınız A. F, Hacısalıhoğlu H. CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2009;58(2):11-29. doi:10.1501/Commua1_0000000649
Chicago	Yalınız A., Funda, and H.HILMI Hacısalıhoğlu. “CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58, no. 2 (August 2009): 11-29. https://doi.org/10.1501/Commua1_0000000649.
EndNote	Yalınız A. F, Hacısalıhoğlu H (August 1, 2009) CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58 2 11–29.
IEEE	F. Yalınız A. and H. Hacısalıhoğlu, “CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 58, no. 2, pp. 11–29, 2009, doi: 10.1501/Commua1_0000000649.
ISNAD	Yalınız A., Funda - Hacısalıhoğlu, H.HILMI. “CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58/2 (August 2009), 11-29. https://doi.org/10.1501/Commua1_0000000649.
JAMA	Yalınız A. F, Hacısalıhoğlu H. CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2009;58:11–29.
MLA	Yalınız A., Funda and H.HILMI Hacısalıhoğlu. “CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 58, no. 2, 2009, pp. 11-29, doi:10.1501/Commua1_0000000649.
Vancouver	Yalınız A. F, Hacısalıhoğlu H. CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2009;58(2):11-29.