Shyuichi IZUMIYA1, Dong He PEI2, Takashi SANO3, Erika TORII1
1. Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, Japan; 2. Department of Mathematics, North East Normal University, Changchun, 130024, P. R. China; 3. Faculty of Engineering, Hokkai-Gakuen University, Sapporo, 062-8605, Japan
Abstract We define the notion of evolutes of curves in a hyperbolic plane and establish the relationships between singularities of these subjects and geometric invariants of curves under the action of the Lorentz group. We also describe how we can draw the picture of an evolute of a hyperbolic plane curve in the Poincaré disk.