Generic singularities of spherical orthotomic curves associated with spherical pedal curves

Abstract

For the n-dimensional spherical pedal curve $pe{d}_{\gamma ,P}$ with respect to an n-dimensional spherical unit speed curve $\gamma$ and a given point $P\in S^n$, we define the spherical orthotomic curve of $\gamma$ relative to the point $P$, and classify singularities of spherical orthotomic curves.

This paper has been withdrawn by the author due to important improvements to be done