arXiv subjects

Yoshiki Matsushita

Publications and source records attributed to Yoshiki Matsushita.

2 recordsLinked to original sources

arXiv2024

Classifications of cusps appearing on plane curves

In this paper, we deal with plane curves with cusps. It is well known that there are various types of cusps. Among them, we investigate criteria for $(n, n+1)$ cusps with respect to several differential conditions and relations between these singularities and evolutes of fronts. We give complete classifications with respect to $(4, 5)$-cusps.

math.DG↗

arXiv2020

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

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.

math.DG↗