V. Soltan

activity

20092021

most citedConvex sets with homothetic projections

4 citations · 4 across the 1 of their papers we have counts for

collaborators

3 papers

math.CO2021

On the number of antipodal or strictly antipodal pairs of points in finite subsets of $R^{d}$ , III

E. Makai, H. Martini, M. H. Nguyên +2

We improve our earlier upper bound on the numbers of antipodal pairs of points among $n$ points in $R^{3}$ , to $2 n^{2} /5 + O (n^{c})$ , for some $c < 2$ . We prove that the minimal n…

math.MG2018

Moreau-Type Characterizations of Polar Cones

Valeriu Soltan

A theorem of Moreau (1962) states that given a closed convex cone $C$ and its (negative) polar cone $C^{\circ}$ in a real Hilbert space $H$ , vectors $y \in C$ and $z \in C^{\circ}$ are…

math.MG2009★ 4 cited

Convex sets with homothetic projections

V. Soltan

Extending results of Suss and Hadwiger (proved by them for the case of convex bodies and positive ratios), we show that compact (respectively, closed) convex sets in the Euclidean…

On the number of antipodal or strictly antipodal pairs of points in finite subsets of Rd, III

Moreau-Type Characterizations of Polar Cones

Convex sets with homothetic projections

On the number of antipodal or strictly antipodal pairs of points in finite subsets of $R^{d}$ , III