Journal of Singularities
volume 3 (2011), 126-143
Received: 7 January 2011.
We give the generic classification on singularities of tangent surfaces to Legendre curves and to null curves by using the contact-cone duality between the contact 3-sphere and the Lagrange-Grassmannian with cone structure of a symplectic 4-space. As a consequence, we observe that the symmetry on the lists of such singularities is breaking for the contact-cone duality, compared with the ordinary projective duality.
Mathematical Subject Classification:
Primary: 58K40; Secondary: 57R45, 53A20.
|Goo Ishikawa,||Yoshinori Machida||Masatomo Takahashi|
|Department of Mathematics|
|Hokkaido University||Numazu College of Technology||Muroran Institute of Technology|
|Sapporo 060-0810, Japan||Shizuoka 410-8501, Japan||Muroran 050-8585, Japan|
|email: firstname.lastname@example.org||email: email@example.com||email: firstname.lastname@example.org|