Calculus of Variations and Geometric Measure Theory

G. Bellettini - A. Elshorbagy

On the square distance function from a manifold with boundary

created by belletti on 15 Mar 2019


Submitted Paper

Inserted: 15 mar 2019
Last Updated: 15 mar 2019

Year: 2019


We characterize arbitrary codimensional smooth manifolds M with boundary embedded in Rn using the square distance function and the signed distance function from M and from its boundary. The results are localized in an open set.

Keywords: Square distance function, smooth manifolds with boundary, signed distance function