Caustics and evolutes for convex planar domains (Q1098146)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Caustics and evolutes for convex planar domains |
scientific article; zbMATH DE number 4036773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Caustics and evolutes for convex planar domains |
scientific article; zbMATH DE number 4036773 |
Statements
Caustics and evolutes for convex planar domains (English)
0 references
1988
0 references
The caustics for the billiard ball map on an ellipse satisfy a certain evolution property. An operator relating the curvature of a caustic to the curvature of the boundary of a strictly convex smooth planar domain is defined and used to derive an equation which characterizes those curves which satisfy the evolution property as ellipses.
0 references
billiard
0 references
caustic
0 references
ellipse
0 references
