GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES

Abstract

In this paper the well-known properties of helices in Euclidian 3-space are extended to n-dimensional Riemann-Otsuki space. We define the infinitesimal deformations of curves in Riemann-Otsuki space and obtain the condition such that the given deformation of a curve defines a generalized Helix in this space.