Sasakian slant helices

This thesis consists of six chapters.In the first chapter, some basic concepts and results about contact manifolds which will be used in other chapters have been given.In the second chapter, a Sasakian manifold has been studied.In the third chapter, slant helices and conical geodesic curves have been defined and studied as curves on developable surfaces and spherical images of the tangent indicatrix and binomial indicatrix of a slant helix have been investigated.In the fourth chapter, a new kind of slant helix in E4 Euclidean space which we called B2 -slant helix has been defined.In the fifth chapter, some necessary and su ? cient conditions for a curve to be a slant helix in Euclidean n-space have been presented and some characterizations of slant helices in terms of type-2 harmonic curvatures have been given.In the last chapter, slant helices in Sasakian 3-manifolds have been defined and some results have been obtained about these.Key Words: Sasakian Manifold, Slant Helices, Slant Helices in Sasakian 3-Manifolds.