Add to ORKGAbstract. We provide a complete characterization of closed sets with empty interior and positive reach in R2. As a consequence, we characterize open bounded domains in R2 whose high ridge and cut locus agree, and hence C1 planar domains whose normal distance to the cut locus is constant along the boundary. The latter results extends to convex domains in Rn. 1
For a bounded domain $\Omega\subset\mathbb{R}^m, m\geq 2,$ of class $C^0$, the properties are studie...
In this paper, we present diverse new metric properties that prox-regular sets shared with convex on...
Extending the celebrated results of Alexandrov (1958) and Korevaar-Ros (1988) for smooth sets, as we...
We provide a complete characterization of closed sets with empty interior and positive rea...
We provide a complete characterization of closed sets with empty interior and positive reach in $\R^...
AbstractA closed convex set D ⊂ Rn, with nonempty interior, is said to be convexity domain if there ...
none1noLet C be a closed subset of a smooth manifold of dimension n, M , and let M be endowed with ...
If X is a reduced Stein space with no isolated points, then we prove that for every O(X)-convex open...
In this paper, we provide in a general Hilbert space new characterizations of uniform prox-regularit...
The goal of this thesis is to collect various properties of sets with positive reach and to describe...
A subset S of a metric space X is said to be a Chebyshev set if, for every x 2 X; there is a unique ...
© 2016, Allerton Press, Inc. For smooth functions supported in a domain of the Euclidean space we in...
In this article we study some geometric properties of proximally smooth sets. First, we introduce a ...
Given a bounded domain $ \Omega$ in $ \mathbb{R}^2$ with smooth boundary, the cut locus $ \overline ...
v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are changed. To appea...
For a bounded domain $\Omega\subset\mathbb{R}^m, m\geq 2,$ of class $C^0$, the properties are studie...
In this paper, we present diverse new metric properties that prox-regular sets shared with convex on...
Extending the celebrated results of Alexandrov (1958) and Korevaar-Ros (1988) for smooth sets, as we...
We provide a complete characterization of closed sets with empty interior and positive rea...
We provide a complete characterization of closed sets with empty interior and positive reach in $\R^...
AbstractA closed convex set D ⊂ Rn, with nonempty interior, is said to be convexity domain if there ...
none1noLet C be a closed subset of a smooth manifold of dimension n, M , and let M be endowed with ...
If X is a reduced Stein space with no isolated points, then we prove that for every O(X)-convex open...
In this paper, we provide in a general Hilbert space new characterizations of uniform prox-regularit...
The goal of this thesis is to collect various properties of sets with positive reach and to describe...
A subset S of a metric space X is said to be a Chebyshev set if, for every x 2 X; there is a unique ...
© 2016, Allerton Press, Inc. For smooth functions supported in a domain of the Euclidean space we in...
In this article we study some geometric properties of proximally smooth sets. First, we introduce a ...
Given a bounded domain $ \Omega$ in $ \mathbb{R}^2$ with smooth boundary, the cut locus $ \overline ...
v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are changed. To appea...
For a bounded domain $\Omega\subset\mathbb{R}^m, m\geq 2,$ of class $C^0$, the properties are studie...
In this paper, we present diverse new metric properties that prox-regular sets shared with convex on...
Extending the celebrated results of Alexandrov (1958) and Korevaar-Ros (1988) for smooth sets, as we...