TY - JOUR

T1 - A reduction of the slicing problem to finite volume ratio bodies

AU - Bourgain, Jean

AU - Klartag, Bo'az

AU - Milman, Vitali

N1 - Funding Information:
E-mail addresses: bourgain@math.ias.edu (J. Bourgain), klartagb@post.tau.ac.il (B. Klartag), milman@post.tau.ac.il (V. Milman). 1 The second and the third authors were partially supported by the Israel Science Foundation and by Minkowski Center for Geometry.

PY - 2003/2/15

Y1 - 2003/2/15

N2 - Here we discuss results around the slicing problem, which is a well known open problem in asymptotic convex geometry. We show that if one can prove that the isotropic constant of bodies with a finite volume ratio is uniformly bounded - then it would follow that the isotropic constant of any convex body is uniformly bounded.

AB - Here we discuss results around the slicing problem, which is a well known open problem in asymptotic convex geometry. We show that if one can prove that the isotropic constant of bodies with a finite volume ratio is uniformly bounded - then it would follow that the isotropic constant of any convex body is uniformly bounded.

UR - http://www.scopus.com/inward/record.url?scp=0037768606&partnerID=8YFLogxK

U2 - 10.1016/S1631-073X(03)00041-4

DO - 10.1016/S1631-073X(03)00041-4

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AN - SCOPUS:0037768606

SN - 1631-073X

VL - 336

SP - 331

EP - 334

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 4

ER -