4 papers
Schwarzian Residue of the Samuelson Obstruction in Tangent Lagrangian 2-Webs
Yasuhiro Kurokawa
The Samuelson condition, a classical area-ratio condition for planar Lagrangian -webs, is equivalent in local web coordinates to ,…
A Universal Obstruction to the Samuelson Condition for Tangent Lagrangian 2-Webs
Yasuhiro Kurokawa
We study the Samuelson area condition for Lagrangian \(2\)-webs in the symplectic plane generated by tangent lines to plane curves. We prove that, near every point of nonzero curva…
The Samuelson Condition and Tangent Lines of Quadratic Curves
Yasuhiro Kurokawa
We show that the Samuelson condition, an area condition, is not satisfied by the Lagrangian 2-web formed by the tangent lines to a non-degenerate real quadratic curve.
Topological rigidity for certain families of differentiable plane curves
Jean Paul Dufour, Yasuhiro Kurokawa
We show that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case(the double local case).…