Add to ORKGAbstract. We consider subdivisions of bounded convex sets G in two subsets E and G \ E. We obtain several inequalities comparing the relative volume 1) with the minimum relative diameter and 2) with the maximum relative diameter. In the second case we obtain the best upper estimate only for subdivisions determined by straight lines in planar sets. MSC 2000: 52A40, 52A1
Abstract. A direct approach to Ball’s simplex inequality is presented. This approach, which does not...
Ofien some inleresting or simply curious points are lefi oul when developing a theory. It seems that...
Our goal is to write an extended version of the notes of a course given by Olivier Guédon at the Po...
We consider subdivisions of convex bodies G in two subsets E and G\E. We obtain several inequalities...
The isodiametric inequality states that the Euclidean ball maximizes the volume among all convex bod...
Abstract. If C ⊂ Rn is a convex domain and D is a subset of Rn ∼ C, does D satisfy the isoperimetric...
The isodiametric inequality is derived from the isoperimetric inequality through a variational princ...
AbstractWe prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body i...
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
Abstract. The second theorem of Minkowski establishes a relation between the successive minima and t...
Abstract. We prove that the area of a hypersurface Σ which traps a given volume outside a convex dom...
For a given planar convex compact set K, consider a bisection {A,B} of K (i.e., A [ B = K and whose...
Given a convex set C R and a set D R C, the inequality is called the relative isoper...
We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show h...
The isodiametric problem in the Euclidean plane is solved for lattice-point-free convex sets: we ch...
Abstract. A direct approach to Ball’s simplex inequality is presented. This approach, which does not...
Ofien some inleresting or simply curious points are lefi oul when developing a theory. It seems that...
Our goal is to write an extended version of the notes of a course given by Olivier Guédon at the Po...
We consider subdivisions of convex bodies G in two subsets E and G\E. We obtain several inequalities...
The isodiametric inequality states that the Euclidean ball maximizes the volume among all convex bod...
Abstract. If C ⊂ Rn is a convex domain and D is a subset of Rn ∼ C, does D satisfy the isoperimetric...
The isodiametric inequality is derived from the isoperimetric inequality through a variational princ...
AbstractWe prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body i...
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
Abstract. The second theorem of Minkowski establishes a relation between the successive minima and t...
Abstract. We prove that the area of a hypersurface Σ which traps a given volume outside a convex dom...
For a given planar convex compact set K, consider a bisection {A,B} of K (i.e., A [ B = K and whose...
Given a convex set C R and a set D R C, the inequality is called the relative isoper...
We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show h...
The isodiametric problem in the Euclidean plane is solved for lattice-point-free convex sets: we ch...
Abstract. A direct approach to Ball’s simplex inequality is presented. This approach, which does not...
Ofien some inleresting or simply curious points are lefi oul when developing a theory. It seems that...
Our goal is to write an extended version of the notes of a course given by Olivier Guédon at the Po...