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Evolutes of Hyperbolic Plane Curves |
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| Authors: | |
| Institution: | (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;(4) Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan |
| Abstract: | 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. |
| Keywords: | Evolute Generic property Hyperbolic plane curve |
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