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arXiv 0903.4284math.DG
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等宽回转体的Blaschke-Lebesgue问题

The Blaschke-Lebesgue problem for constant width bodies of revolution

Henri Anciaux, Nikos Georgiou

摘要:

我们证明了在所有等宽回转体中,体积与立方宽之比最小的是通过绕对称轴旋转三角形得到的等宽回转体。

英文摘要:

We prove that among all constant width bodies of revolution, the minimum of the ratio of the volume to the cubed width is attained by the constant width body obtained by rotation of the Reuleaux triangle about an axis of symmetry.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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