International audienceLet L be a convex body in R(n) and z an interior point of L. We associate with L and z a new, convex and centrally symmetric, body CI(L, z). This generalizes the classical intersection body I(L, z) (whose radial function at u is an element of S(n-1) is the volume of the hyperplane section of L through z, orthogonal to u). CI(L, z) coincides with I(L, z) if and only if L is centrally symmetric about z. We study the properties of CI(L, z)
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
Abstract. The 1956 Busemann-Petty problem asks whether symmetric convex bodies with larger central h...
International audienceWe prove that in small codimensions, the sections of a convex body in R^n thro...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
AbstractIntersection bodies were introduced in 1988 by Lutwak, who found a close connection between ...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
AbstractWe study isomorphic properties of two generalizations of intersection bodies – the class Ikn...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
AbstractBusemann's theorem states that the intersection body of an origin-symmetric convex body is a...
Abstract. We initiate a systematic investigation into the nature of the function a(K; L; r) that giv...
Abstract. We initiate a systematic investigation into the nature of the function a(K; L; r) that giv...
International audienceIt is shown that the cross-section body of a convex body K subset of R-3, that...
Abstract. We initiate a systematic investigation into the nature of the function αK(L, ρ) that gives...
Abstract. We extend the classical Brunn theorem to symmetric moments of convex bodies and use it to ...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
Abstract. The 1956 Busemann-Petty problem asks whether symmetric convex bodies with larger central h...
International audienceWe prove that in small codimensions, the sections of a convex body in R^n thro...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
AbstractIntersection bodies were introduced in 1988 by Lutwak, who found a close connection between ...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
AbstractWe study isomorphic properties of two generalizations of intersection bodies – the class Ikn...
The paper shows that no origin-symmetric convex polyhedron in R^3 is the intersection body of a star...
AbstractBusemann's theorem states that the intersection body of an origin-symmetric convex body is a...
Abstract. We initiate a systematic investigation into the nature of the function a(K; L; r) that giv...
Abstract. We initiate a systematic investigation into the nature of the function a(K; L; r) that giv...
International audienceIt is shown that the cross-section body of a convex body K subset of R-3, that...
Abstract. We initiate a systematic investigation into the nature of the function αK(L, ρ) that gives...
Abstract. We extend the classical Brunn theorem to symmetric moments of convex bodies and use it to ...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
AbstractWe extend the classical Brunn theorem to symmetric moments of convex bodies and use it to pr...
Abstract. The 1956 Busemann-Petty problem asks whether symmetric convex bodies with larger central h...
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