On the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies

Gardner, R. J.

doi:10.1090/S0273-0979-1994-00493-8

On the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies
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Bull. Amer. Math. Soc. 30 (1994), 222-226 Request permission

Abstract:

We present a method which shows that in ${\mathbb {E}^3}$ the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer. Together with other results, this settles the problem in each dimension.

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