Regularity of geodesics in sets of positive reach (Q2822575)
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: Regularity of geodesics in sets of positive reach |
scientific article; zbMATH DE number 6632092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of geodesics in sets of positive reach |
scientific article; zbMATH DE number 6632092 |
Statements
30 September 2016
0 references
positive reach
0 references
geodesic
0 references
Regularity of geodesics in sets of positive reach (English)
0 references
The main result of the paper states that if \(S\) is a regular positive reach set in \(\mathbb{R}^{n}\), then every geodesic in \(S\) (i.e., a locally shortest curve in \(S\)) is differentiable and its derivative is Lipschitz continuous.
0 references
