2 citations · 4 across the 6 of their papers we have counts for
7 papers
On the complements of union of open balls and related set classes
Marco Longinetti, Paolo Manselli, Adriana Venturi
Let a -body be a closed set, complement of union of open balls of radius in the Euclidean space. Properties generalizing similar ones for convex sets are proved for the fami…
On the complements of union of open balls of fixed radius in the Euclidean space
M. Longinetti, P. Manselli, A. Venturi
Let an -body be the complement of the union of open balls of radius in . The -hulloid of a closed not empty set , the minimal -body containing , is…
Plane -paths and their rectifiability property
Nico Lombardi, Marco Longinetti, Paolo Manselli +1
A family of plane oriented continuous paths depending on a fixed real positive number is considered. For any point on the path, the previous points lie out of any circle of…
Bounding regions to plane steepest descent curves of quasi convex families
Marco Longinetti, Paolo Manselli, Adriana Venturi
Two dimensional steepest descent curves (SDC) for a quasi convex family are considered; the problem of their extensions (with constraints) outside of a convex body is studied.…
On variational problems related to steepest descent curves and self dual convex sets on the sphere
Marco Longinetti, Paolo Manselli, Adriana Venturi
Let be the family of compact convex subsets of the hemisphere in $\rn$ with the property that contains its dual let , and let $ Φ(S,u)=\frac{…
On steepest descent curves for quasi convex families in
Marco Longinetti, Paolo Manselli, Adriana Venturi
A connected, linearly ordered path $\ga \subset R^n$ satisfying $$ x_1\prec x_2\prec x_3 \in \ga, and x_1 \prec x_2 \prec x_3 \Rightarrow |x_2 - x_1| \leq | x_3 - x_1|$$ is shown t…
On geometric properties of sets of positive reach in
Andrea Colesanti, Paolo Manselli
Some geometric facts concerning sets with positive reach in the Euclidean -dimensional space are proved. For and in and let us denote b…