Geometric properties near singular points of surfaces given by certain representation formulae

Yoshiki Matsushita, Takuya Nakashima, Keisuke Teramoto

Published 2020-03-24Version 1

We investigate geometric properties of surfaces given by certain formulae. In particular, we calculate the singular curvature and the limiting normal curvature of such surfaces along the set of singular points consisting of singular points of the first kind. Moreover, we study fold singular points of smooth maps.