Regularity of geodesics in sets of positive reach
type: Item
instance of: scholarly article
zbMATH Open document ID: 1362.53050
author: Jennifer Ellis Royal
publication date: 2016-09-30T00:00:00Z
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 49N60
zbMATH DE Number: 6632092
zbMATH Keywords: positive reach
zbMATH Keywords: geodesic
MaRDI profile type: Publication
title: Regularity of geodesics in sets of positive reach
published in: Houston Journal of Mathematics
review text: 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.
reviewed by: Igor G. Nikolaev
description: scientific article; zbMATH DE number 6632092