Differential Geometric Aspects of Pedal Curves on Surfaces

Abstract

The purpose of this paper is to construct relations and characterizations between the pedal curves and surfaces and to find components of the vector of αt by the means of the pedal on the surface M. Also, the formula of pedal curves of a curve α is generalized in n-dimensional Euclidean space En. Some special results are obtained within the scope of pedal curves and given with obtained characterization of the pedal curve in n-dimensional space En.