Glasgow Mathematical Journal

The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space

Shyuichi Izumiya a1, Donghe Pei a1 1 and Takasi Sano a1
a1 Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060, Japan


We define the notion of lightcone Gauss maps, lightcone pedal curves and lightcone developables of spacelike curves in Minkowski 3-space and establish the relationships between singularities of these objects and geometric invariants of curves under the action of the Lorentz group.

(Received May 18 1998)


1 On leave from Department of Mathematics, North East Normal University, Chang Chun 130024, P.R. China.