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On the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies
Author(s):
R. J.
Gardner
Journal:
Bull. Amer. Math. Soc.
30
(1994),
222-226.
MSC (2000):
Primary 52A38;
Secondary 52A40
MathSciNet review:
1246466
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Abstract:
We present a method which shows that in 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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Additional Information:
DOI:
10.1090/S0273-0979-1994-00493-8
PII:
S 0273-0979(1994)00493-8
Keywords:
Busemann-Petty problem,
convex body,
star body,
section,
intersection body,
spherical Radon transform,
Schwarz symmetral,
geometric tomography
Copyright of article:
Copyright
1994,
American Mathematical Society
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