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A note on a problem of H. Busemann and C. M. Petty concerning sections of symmetric convex bodies

Published online by Cambridge University Press:  26 February 2010

Apostolos A. Giannopoulos
Affiliation:
Mathematics Department, University of Crete, Iraklion, Crete, Greece.
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Abstract

Let

It is proved that for suitable a and b, n≥7, one can have Vn(An) = Vn(Bn) and for every (n–1)-dimensional subspace H of ℝn, where Bn is the unit ball of ℝn. This strengthens previous negative results on a problem of H. Busemann and C. M. Petty.

Type
Research Article
Copyright
Copyright © University College London 1990

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References

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