7 citations · 24 across the 21 of their papers we have counts for
23 papers
Legendre singularities of sub-Riemannian geodesics
Goo Ishikawa, Yumiko Kitagawa
Let be a surface with a Riemannian metric and the unit tangent bundle over with the canonical contact sub-Riemannian structure on . In this paper, the complete…
Singularities of parallels to tangent developable surfaces
Goo Ishikawa
It is known that the class of developable surfaces which have zero Gaussian curvature in three dimensional Euclidean space is preserved by the parallel transformations. A tangent d…
Normal and tangent maps to frontals
Goo Ishikawa
The notion of frontals in Euclidean space is introduced and the normal and tangent maps to frontals are studied for both geometrical and dynamical aspects of frontals. Moreover we…
Topology of complements to real affine space line arrangements
Goo Ishikawa, Motoki Oyama
It is shown that the diffeomorphism type of the complement to a real space line arrangement in any dimensional affine ambient space is determined only by the number of lines and th…
Recognition Problem of Frontal Singularities
Goo Ishikawa
This is a survey article on recognition problem of frontal singularities. We specify geometrically several frontal singularities and then we solve the recognition problem of such s…
Duality of (2,3,5)-distributions and Lagrangian cone structures
Goo Ishikawa, Yumiko Kitagawa, Asahi Tsuchida +1
As was shown by a part of the authors, for a given -distribution on a -dimensional manifold , there is, locally, a Lagrangian cone structure on another …