Origin-Symmetric Bodies of Revolution with Minimal Mahler Volume in R³-a new proof
classification
🧮 math.DG
keywords
bodiesmahlerminimalvolumeorigin-symmetricproverevolutionconjecture
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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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