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arXiv · 1403.0322

Origin-Symmetric Bodies of Revolution with Minimal Mahler Volume in R^3-a new proof

Youjiang Lin·Gangsong Leng
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Abstract

Meyer and Reisner had proved the Mahler conjecture for rovelution bodies. In this paper, using a new method, we prove that among origin-symmetric bodies of revolution in R^3, cylinders have the minimal Mahler volume. Further, we prove that among parallel sections homothety bodies in R^3, 3-cubes have the minimal Mahler volume.

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Youjiang Lin, Gangsong Leng. 2014-03-03. Origin-Symmetric Bodies of Revolution with Minimal Mahler Volume in R^3-a new proof. https://arxiv.org/abs/1403.0322

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