3 papers
math.DG2026
Prolongations of -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 -Distribution of Type by Singular Curves
Goo Ishikawa, Yoshinori Machida
Cartan gives the model of -distribution with the exceptional simple Lie algebra as its symmetry algebra in his paper (1893), which is published one year before his t…
math.DG2024
Singular curves of hyperbolic -distributions of type
Goo Ishikawa, Yoshinori Machida
A distribution of rank on a -dimensional manifold is called a -distribution if its local sections generate the whole tangent space by taking Lie brackets once. Singu…