Cheeger sets for rotationally symmetric planar convex bodies

In this note we obtain some properties of the Cheeger set CΩ associated to a k-rotationally symmetric planar convex body Ω. More precisely, we prove that CΩ is also k-rotationally symmetric and that the boundary of CΩ touches all the edges of Ω.

Detalles Bibliográficos
Autor: Cañete Martín, Antonio Jesús
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/134812
Acceso en línea:https://hdl.handle.net/11441/134812
https://doi.org/10.1007/s00025-021-01539-7
Access Level:acceso abierto
Palabra clave:Cheeger set
Rotationally symmetric
Descripción
Sumario:In this note we obtain some properties of the Cheeger set CΩ associated to a k-rotationally symmetric planar convex body Ω. More precisely, we prove that CΩ is also k-rotationally symmetric and that the boundary of CΩ touches all the edges of Ω.