DOIAbstract
AbstractWe prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in Rn. This leads to a relative isoperimetric inequality for arbitrary hyperplane sections of a convex body
AbstractWe prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in Rn. This leads to a relative isoperimetric inequality for arbitrary hyperplane sections of a convex body
The relative isoperimetric inequality inside an open, convex cone C states that, at fixed volume, Br...
this paper we provide upper and lower bounds for the Gaussian Measure of a hyperplane section of a c...
Ofien some inleresting or simply curious points are lefi oul when developing a theory. It seems that...
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
A new proof is given of an inequality of ]. Bokowski and E. Sperner, referring to the product of the...
Given a convex set C R and a set D R C, the inequality is called the relative isoper...
Abstract. We prove that the area of a hypersurface Σ which traps a given volume outside a convex dom...
International audienceIt is shown that the cross-section body of a convex body K subset of R-3, that...
Abstract. If C ⊂ Rn is a convex domain and D is a subset of Rn ∼ C, does D satisfy the isoperimetric...
Abstract. The Busemann-Petty problem asks whether convex ori-gin-symmetric bodies in Rn with smaller...
AbstractSuppose that K and L are convex bodies in Rn with L⊂intK. For each hyperplane H⊂Rn which sup...
Abstract. In this note we examine the volume of the convex hull of two congruent copies of a convex ...
International audienceMahler's conjecture predicts a sharp lower bound on the volume of the polar of...
Abstract. We consider subdivisions of bounded convex sets G in two subsets E and G \ E. We obtain se...
AbstractLet P be a convex polyhedron in R3, and E be a plane cutting P. Then the section PE=P∩E is a...
The relative isoperimetric inequality inside an open, convex cone C states that, at fixed volume, Br...
this paper we provide upper and lower bounds for the Gaussian Measure of a hyperplane section of a c...
Ofien some inleresting or simply curious points are lefi oul when developing a theory. It seems that...
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
A new proof is given of an inequality of ]. Bokowski and E. Sperner, referring to the product of the...
Given a convex set C R and a set D R C, the inequality is called the relative isoper...
Abstract. We prove that the area of a hypersurface Σ which traps a given volume outside a convex dom...
International audienceIt is shown that the cross-section body of a convex body K subset of R-3, that...
Abstract. If C ⊂ Rn is a convex domain and D is a subset of Rn ∼ C, does D satisfy the isoperimetric...
Abstract. The Busemann-Petty problem asks whether convex ori-gin-symmetric bodies in Rn with smaller...
AbstractSuppose that K and L are convex bodies in Rn with L⊂intK. For each hyperplane H⊂Rn which sup...
Abstract. In this note we examine the volume of the convex hull of two congruent copies of a convex ...
International audienceMahler's conjecture predicts a sharp lower bound on the volume of the polar of...
Abstract. We consider subdivisions of bounded convex sets G in two subsets E and G \ E. We obtain se...
AbstractLet P be a convex polyhedron in R3, and E be a plane cutting P. Then the section PE=P∩E is a...
The relative isoperimetric inequality inside an open, convex cone C states that, at fixed volume, Br...
this paper we provide upper and lower bounds for the Gaussian Measure of a hyperplane section of a c...
Ofien some inleresting or simply curious points are lefi oul when developing a theory. It seems that...
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