TY  - JOUR
T1  - Vn SLANT HELICES IN MINKOWSKI n-SPACE En1
AU  - Gök, İsmail
AU  - Camcı, Çetin
AU  - Hacısalıhoğlu H., Hilmi
PY  - 2009
DA  - February
DO  - 10.1501/Commua1_0000000645
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 29
EP  - 38
VL  - 58
IS  - 1
LA  - en
AB  - In this paper we give a definition of harmonic curvature functionsin terms of Vnand define a new kind of slant helix which we call Vnslant helixin n dimensional Minkowski space Enby using the new harmonic curvaturefunctions : Also we define a vector field DLwhich we call Darboux vector field of Vnslant helix in n dimensional Minkowski space Enand we give somecharacterizations about slant helices
KW  - Slant helices
KW  - Harmonic curvature functions
KW  - Minkowski n-space
CR  - Barros M., General helices and a theorem of Lancert. Proc AMS 1997;125:1503–9.
CR  - Camcı Ç, Ilarslan, K., Kula L, Hacısaliho¼glu H.H. Harmonic curvatures and generalized helices in En. Chaos, Solitons & Fractals 2007. doi:10.1016/j.chaos.2007.11.001.
CR  - Gluk, H.,Higher curvatures of curves in Euclidean space, Amer. Math. Month. 73 (1966), 704.
CR  - Gök ·I, CamcıÇ and Hacısaliho¼glu H.H, Vn-Slant helices in Euclidean n-space En, submitted to publish. Hacisalihoglu, H.H. Diferensiyel Geometri. Ankara University Faculty of Science Press, 1993
CR  - Hayden HA. On a general helix in a Riemannian n-space. Proc London Math Soc (2) ;32:37–45. ·Ilarslan, K. Some special curves on non-Euclidean manifolds, Ph.D. Thesis, Ankara Univer- sity, Graduate School of Natural and Applied Sciences, 2002.
CR  - Izumuya S., and Takeuchi, N., New special curves and developable surfaces, Turk. J. Math. Vol. 28, (2004), 153-163.
CR  - Kuhnel W. Diğerential Geometry: Curves-Surfaces-Manifolds. Wiesbaden: Braunchweig; Kula L., and Yaylı, Y., On slant helix and its spherical indicatrix, Appl. Math. and Comp. Vol. 169 (2005), 600-607.
CR  - Monterde J. Curves with constant curvature ratios. Available from: arXiv:math.DG/0412323 vol. 16. December 20
CR  - Önder, M., Kazaz M., Kocayi¼git, H., and Kılıç, O., B2slant helix in Euclidean 4-space E4;Int. J. Cont. Math. Sci. vol. 3, no.29 (2008), 1433-1440.
CR  - Özdamar, E., and Hacısaliho¼glu H.H, A characterization of inclined curves in Euclidean n- space, Communication de la faculte des sciences de l’ Universite d’ Ankara, series A1, 24A1 (1975),15-22.
CR  - Romero-Fuster MC, Sanabria-Codesal E. Generalized helices, twistings and *attenings of curves in n-space. 10th School on Diğerential Geometry (Portuguese) (Belo Horizonte, 1998). Math Contemp 1999;17:267–80.
CR  - Song H.H. On proper helix in pseudo-Riemannian submanifolds, J.Geom. 91(2008), 150-168.
CR  - Struik DJ. Lectures on Classical Diğerential Geometry. New York: Dover; 1988 Tamura, M., Surfaces which contain helical geodesics in the sphere.
CR  - Mem.Fac.Sci.Eng.Shimane Unıv.Series B: Mathematical Science 37 (2004) ;59-65
CR  - Uribe-Vargas Ricardo. On singularities, “perestroikas” and diğerential geometry of space curves. Enseign Math (2) 2004; 50(1-2): 69-101
CR  - Current address : ·Ismail Gök, H. Hilmi Hacısaliho¼glu: Department of Mathematics, Faculty of Science, University of Ankara, Tando¼gan, Ankara, TURKEY Çetin camcı: Department of Mathematics, Faculty of Sciences and Arts, University of Çanakkale Onsekizmart, Çanakkale, TURKEY E-mail address : igok@science.ankara.edu.tr,ccamci@comu.edu.tr hacisali@science.ankara.edu.tr
UR  - https://doi.org/10.1501/Commua1_0000000645
L1  - https://dergipark.org.tr/en/download/article-file/771535
ER  -