Evolutes of Hyperbolic Plane Curves

Authors
Izumiya, Shyuichi Pei, Dong He Sano, Takashi Torii, Erika
Citation
Izumiya, Shyuichi et al., Evolutes of Hyperbolic Plane Curves, Acta mathematica Sinica. English series (Print) , 20(3), 2004, pp. 543-550
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
20
Issue
3
Year of publication
2004
Pages
543 - 550
Database
ACNP
SICI code
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.