Goo Ishikawa

activity

20182026

collaborators

4 papers

math.DG2026

Prolongations of $(3, 6)$ -distributions by singular curves

Goo Ishikawa, Yoshinori Machida

A subbundle of rank 3 in the tangent bundle over a 6-dimensional manifold is called a (3, 6)-distribution if its local sections generate the whole tangent bundle by taking their Li…

math.DG2025

Prolongation of $(8, 15)$ -Distribution of Type $F_{4}$ by Singular Curves

Goo Ishikawa, Yoshinori Machida

Cartan gives the model of $(8, 15)$ -distribution with the exceptional simple Lie algebra $F_{4}$ as its symmetry algebra in his paper (1893), which is published one year before his t…

math.DG2023

Singular curves of hyperbolic $(4, 7)$ -distributions of type $C_{3}$

Goo Ishikawa, Yoshinori Machida

A distribution of rank $4$ on a $7$ -dimensional manifold is called a $(4, 7)$ -distribution if its local sections generate the whole tangent space by taking Lie brackets once. Singu…

math.DG2018

Cofrontals

Goo Ishikawa

In this paper we introduce the notion of cofrontal mappings, as the dual objects to frontal mappings, and study their basic local and global properties. Cofrontals are very special…

Prolongations of (3,6)-distributions by singular curves

Prolongation of (8,15)-Distribution of Type F4​ by Singular Curves

Singular curves of hyperbolic (4,7)-distributions of type C3​

Cofrontals

Prolongations of $(3, 6)$ -distributions by singular curves

Prolongation of $(8, 15)$ -Distribution of Type $F_{4}$ by Singular Curves

Singular curves of hyperbolic $(4, 7)$ -distributions of type $C_{3}$