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 -