TY - JOUR
T1 - Une inégalité centro-projective
AU - Vernicos, Constantin
AU - Yang, Deane
N1 - Publisher Copyright:
© 2019 Académie des sciences
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/8
Y1 - 2019/8
N2 - We give a new integral formula for the centro-projective area of a convex body, which was first defined by Berck–Bernig–Vernicos. We then use the formula to prove that it is bounded from above by the centro-projective area of an ellipsoid and that equality occurs if and only if the convex set is an ellipsoid.
AB - We give a new integral formula for the centro-projective area of a convex body, which was first defined by Berck–Bernig–Vernicos. We then use the formula to prove that it is bounded from above by the centro-projective area of an ellipsoid and that equality occurs if and only if the convex set is an ellipsoid.
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U2 - 10.1016/j.crma.2019.07.005
DO - 10.1016/j.crma.2019.07.005
M3 - Article
AN - SCOPUS:85071334359
SN - 1631-073X
VL - 357
SP - 681
EP - 685
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 8
ER -