Critical Chords of Convex Bodies of Constant Width

Critical Chords of Convex Bodies of Constant Width
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DOI:
10.1007/s11859-018-1348-4
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发表时间:
2018-12
影响因子:
--
通讯作者:
Xinyue Zhou;HaiLin Jin
Xinyue Zhou;HaiLin Jin
中科院分区:
--
文献类型:
--
作者:
Xinyue Zhou;HaiLin Jin

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本文证明了当等宽凸体K的非对称Minkowski测度大于α(n-1)时,K至少有n +1个临界弦,其中.
In this paper, we show that when Minkowski measure of asymmetry of convex bodyKof constant width is bigger than α (n-1),Khas at leastn+1 critical chords, where.