An estimate of the centroid Banach-Mazur distance between planar convex bodies

Publication date: 22 December 2022

Abstract: We consider the variant of the Banach-Mazur distance

d e l t a_{B M}^{m c e n} (C, D)

of two convex bodies

C, D

of

E^{d}

with the additional requirement that the centroids of them coincide. We prove that

d e l t a_{B M}^{m c e n} (C, D) l e q f r a c 6917

for every

C, D

of

E^{2}

.

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