Add to ORKGWe provide a generalization of John's representation of the identity for the maximal volume position of L inside K, where K and L are arbitrary smooth convex bodies in R n.>From this representation we obtain Banach-Mazur distance and volume ratio estimates
The largest volume ratio of a given convex body K ⊂ Rn is defined as lvr(K) := sup L⊂Rn vr(K, L), wh...
A translation body of a convex body is the convex hull of two of its translates intersecting each ot...
AbstractEvery convex body K in Rn has a coordinate projection PK that contains at least vol(16K) cel...
ABSTRACT For a convex body K in R n , the volume quotient is the ratio of the smallest volume of the...
For a convex body K in Rn, the volume quotient is the ratio of the smallest volume of the circumscri...
We give a description of an affine mapping T involving con-tact pairs of two general convex bodies K...
We give a description of an affine mapping T involving contact pairs of two general convex bodiesK a...
In this paper, we extend and generalize several previous works on maximal-volume positions of convex...
Relationships between some geometric properties of finite dimensional Banach spaces and distribution...
It is a well known fact that for every polynomial time algorithm which gives an upper bound V (K) an...
Every convex body K in R^n has a coordinate projection PK that contains at least vol(0.1 K)...
Abstract. A translation body of a convex body is the convex hull of two of its translates intersecti...
It is proved that the Banach-Mazur distance between arbitrary two convex quadrangles is at most 2. T...
Mahler’s conjecture asks whether the cube is a minimizer for the volume product of a body and its po...
We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show h...
The largest volume ratio of a given convex body K ⊂ Rn is defined as lvr(K) := sup L⊂Rn vr(K, L), wh...
A translation body of a convex body is the convex hull of two of its translates intersecting each ot...
AbstractEvery convex body K in Rn has a coordinate projection PK that contains at least vol(16K) cel...
ABSTRACT For a convex body K in R n , the volume quotient is the ratio of the smallest volume of the...
For a convex body K in Rn, the volume quotient is the ratio of the smallest volume of the circumscri...
We give a description of an affine mapping T involving con-tact pairs of two general convex bodies K...
We give a description of an affine mapping T involving contact pairs of two general convex bodiesK a...
In this paper, we extend and generalize several previous works on maximal-volume positions of convex...
Relationships between some geometric properties of finite dimensional Banach spaces and distribution...
It is a well known fact that for every polynomial time algorithm which gives an upper bound V (K) an...
Every convex body K in R^n has a coordinate projection PK that contains at least vol(0.1 K)...
Abstract. A translation body of a convex body is the convex hull of two of its translates intersecti...
It is proved that the Banach-Mazur distance between arbitrary two convex quadrangles is at most 2. T...
Mahler’s conjecture asks whether the cube is a minimizer for the volume product of a body and its po...
We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show h...
The largest volume ratio of a given convex body K ⊂ Rn is defined as lvr(K) := sup L⊂Rn vr(K, L), wh...
A translation body of a convex body is the convex hull of two of its translates intersecting each ot...
AbstractEvery convex body K in Rn has a coordinate projection PK that contains at least vol(16K) cel...