On the some new characteristic properties of the a-pedal hypersurface of a hypersurface with the constant support function in (n+1)-dimensional euclidean space $/E^{n+1}$

Abstract

The purpose of this paper is, first, to present the definition of the a-pedal hypersurface of a given smooth, connected and orientable surface M in /E{n1} (chapter I) and if M is taken as a hypersurface with constant support function, then we will give the some new characteristic properties of the a-pedal hypersurface of M related to support function, the area element, the higher order Gaussian curvatures, the characteristic polynom, the first, second and third fundamental forms and their coefficients of M (chapter II).