Masaru Hasegawa

activity

20122026

most citedHeight functions on Whitney umbrellas

9 citations · 9 across the 10 of their papers we have counts for

collaborators

11 papers

math.DG2026

A curvature-ellipse-based Monge normal form of a regular surface in $R^{4}$ and its applications

Masaru Hasegawa

We study a Monge normal form of a surface in $R^{4}$ based on the principal axes of its curvature ellipse. The curvature-ellipse-based Monge normal form is obtained using on…

math.DG2026

Height functions on singular surfaces parameterized by smooth maps $A$ -equivalent to $H_{k}$

Masaru Hasegawa

We study singularities of height functions on singular surfaces in $R^{3}$ parameterized by smooth map-germs $A$ -equivalent to $H_{k}$ in Mond's classification, and…

math.DG2026

Height and distance-squared functions on implicit plane curves

Masaru Hasegawa

We introduce families of Lagrange functions associated with height and distance-squared functions on implicit plane curves. We show that degeneracies of these families characterize…

math.DG2024

Height functions on singular surfaces parameterized by smooth maps $A$ -equivalent to $S_{k}$ , $B_{k}$ , $C_{k}$ and $F_{4}$

Toshizumi Fukui, Masaru Hasegawa

We describe singularities of height functions on singular surfaces in $R^{3}$ parameterized by smooth map-germs $A$ -equivalent to one of $S_{k}$ , $B_{k}$ , $C_{k}$ and $F…

math.DG2024

Distance squared functions on singular surfaces parameterized by smooth maps $A$ -equivalent to $S_{k}$ , $B_{k}$ , $C_{k}$ and $F_{4}$

Toshizumi Fukui, Masaru Hasegawa

We describe singularities of distance squared functions on singular surfaces in $R^{3}$ parameterized by smooth map-germs $A$ -equivalent to one of $S_{k}$ , $B_{k}$ , $C…

math.DG2022

Contact cylindrical surfaces and a projection of a surface around a parabolic point

Masaru Hasegawa, Yutaro Kabata, Kentaro Saji

We investigate differential geometric properties of a parabolic point of a surface in the Euclidean three space. We introduce the contact cylindrical surface which is a cylindrical…

A curvature-ellipse-based Monge normal form of a regular surface in R4 and its applications

Height functions on singular surfaces parameterized by smooth maps A-equivalent to Hk​

Height and distance-squared functions on implicit plane curves

Height functions on singular surfaces parameterized by smooth maps A-equivalent to Sk​, Bk​, Ck​ and F4​

Distance squared functions on singular surfaces parameterized by smooth maps A-equivalent to Sk​, Bk​, Ck​ and F4​

Contact cylindrical surfaces and a projection of a surface around a parabolic point

A curvature-ellipse-based Monge normal form of a regular surface in $R^{4}$ and its applications

Height functions on singular surfaces parameterized by smooth maps $A$ -equivalent to $H_{k}$

Height functions on singular surfaces parameterized by smooth maps $A$ -equivalent to $S_{k}$ , $B_{k}$ , $C_{k}$ and $F_{4}$

Distance squared functions on singular surfaces parameterized by smooth maps $A$ -equivalent to $S_{k}$ , $B_{k}$ , $C_{k}$ and $F_{4}$