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TWO OPTIMISATION PROBLEMS FOR CONVEX BODIES
Published online by Cambridge University Press: 05 August 2015
Abstract
In this paper, we will show that the spherical symmetric slices are the convex bodies that maximise the volume, the surface area and the integral of mean curvature when the minimum width and the circumradius are prescribed and the symmetric $2$-cap-bodies are the ones which minimise the volume, the surface area and the integral of mean curvature given the diameter and the inradius.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 93 , Issue 1 , February 2016 , pp. 137 - 145
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.
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