On helix submanifolds of Euclidean spaces

This thesis consists of six chapter. While the literature review is done in the first chapter, definitions and theorems which are the basis of the main subject are given in the second chapter. In the third chapter, firstly helix hypersurfaces in Rn are investigated. The curvatures of a helix hypersurface obtained from a unit speed curve are studied. After, considering the Darboux frames of the curves given in R3, investigations are made and Gaussian map of the helix hypersurfaces in Rn is given. In the fourth chapter, under the title Yüksek Boyutlu Öklid Altmanifoldları, helix submanifolds of Euclidean spaces are studied. Also, the notion of helix submanifold is given and the product of these manifolds is investigated in this chapter. In the fifth chapter, the construction of helix submanifolds is examined and minimal ruled helices are studied. In the last chapter, characterizations of tensor products of helix hypersurfaces and planar curves are studied.