A note on subsets of positive reach
Alexander Lytchak

TL;DR
This paper presents new structural insights into sets of positive reach within Euclidean spaces and Riemannian manifolds, enhancing understanding of their geometric properties.
Contribution
It offers novel structural results on sets of positive reach, extending existing theories to broader geometric contexts.
Findings
New structural theorems for sets of positive reach
Extensions to Riemannian manifolds
Enhanced understanding of geometric properties
Abstract
We provide new structural results on sets of positive reach in Euclidean spaces and Riemannian manifolds.
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Taxonomy
TopicsOptimization and Variational Analysis · Point processes and geometric inequalities · Mathematical Dynamics and Fractals
