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Comparing the M-position with some classical positions of convex bodies
Published online by Cambridge University Press: 21 October 2011
Abstract
The purpose of this paper is to compare some classical positions of convex bodies. We provide exact quantitative results which show that the minimal surface area position and the minimal mean width position are not necessarily M-positions. We also construct examples of unconditional convex bodies of minimal surface area that exhibit the worst possible behavior with respect to their mean width or their minimal hyperplane projection.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 152 , Issue 1 , January 2012 , pp. 131 - 152
- Copyright
- Copyright © Cambridge Philosophical Society 2011
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