A New Approach on Helices in Pseudo-Riemannian Manifolds

Abstract

A proper curve α in the n-dimensional pseudo-Riemannian manifold (M,g) is called a Vn-slant helix if the function g(Vn,X) is a nonzero constant along α, where X is a parallel vector field along α and Vn is nth Frenet frame. In this work, we study such curves and give important characterizations about them.