Author/Authors :
ÖZKALDI, SIDDIKA University of Ankara - Faculty of Science - Department of Mathematics, Turkey , GÖK, İSMAİL University of Ankara - Faculty of Science - Department of Mathematics, Turkey , YAYLI, YUSUF University of Ankara - Faculty of Science - Department of Mathematics, Turkey , HİLMİ HACISALİHOGLU, H. University of Ankara - Faculty of Science - Department of Mathematics, Turkey
Abstract :
In this paper we give the definition of a LC slant helix for a non-null curve lying on a hypersurface in E_1 ^n+1 by using the Levi Civita’s notion of parallel vector field. Also we define a vector field D which we called Darboux vector field of LC slant helix on a hypersurfacein E_1 ^n+1. Morever we give some basic properties and characterization of LC slant helices.