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

Yoshiki Matsushita                <meta name=

2021/99/3-4 (5) — DOI: 10.5486/PMD.2021.8904 — pp. 331-354

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

Authors: Yoshiki Matsushita, Takuya Nakashima and Keisuke Teramoto

Abstract:

We investigate {some} geometric properties of surfaces given by certain formulae. {We} calculate {their} singular curvature and limiting normal curvature along {singular curves} consisting of singular points of first kind. Moreover, we study fold singular points of smooth maps.

Keywords: frontal, singular point, singular curvature, limiting normal curvature

Mathematics Subject Classification: 53A05, 53A55, 57R45