2 citations · 3 across the 4 of their papers we have counts for
5 papers
Extrinsic Geometry and Linear Differential Equations
Boris Doubrov, Yoshinori Machida, Tohru Morimoto
We give a unified method for the general equivalence problem of extrinsic geometry, on the basis of our formulation of a general extrinsic geometry as that of an osculating map $φ\…
Generalization of Schlafli formula to the volume of a spherically faced simplex
Kazuhiko Aomoto, Yoshinori Machida
We present two identities (contiguity relation and variation formula) concerning the volume of a spherically faced simplex in the Euclidean space. These identities are described in…
Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants
Kazuhiko Aomoto, Yoshinori Machida
The n-dimensional hypergeometric integrals associated with a hypersphere arrangement are formulated by the pairing of n-dimensional twisted cohomology and its dual. Under the condi…
Monge-Ampère Systems with Lagrangian Pairs
Goo Ishikawa, Yoshinori Machida
The classes of Monge-Ampère systems, decomposable and bi-decomposable Monge-Ampère systems, including equations for improper affine spheres and hypersurfaces of constant Gauss-Kron…
Singularities of improper affine spheres and surfaces of constant Gaussian curvature
Go-o Ishikawa, Yoshinori Machida
We study the equation for improper (parabolic) affine spheres from the view point of contact geometry and provide the generic classification of singularities appearing in geometric…