The length of the cut locus on convex surfaces
- 作者: Yuan L.1, Zamfirescu T.1,2
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隶属关系:
- Hebei Normal University
- Technischen Universität Dortmund
- 期: 卷 88, 编号 3 (2024)
- 页面: 192-202
- 栏目: Articles
- URL: https://bakhtiniada.ru/1607-0046/article/view/257720
- DOI: https://doi.org/10.4213/im9485
- ID: 257720
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详细
In this paper, we prove the conjecture stating that, on any closed convex surface, the cut locus of a finite set $M$ with more than two points has length at least half the diameter of the surface.
作者简介
Liping Yuan
Hebei Normal UniversityPhD, Professor
Tudor Zamfirescu
Hebei Normal University; Technischen Universität Dortmund
参考
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- T. Zamfirescu, “On the cut locus in Alexandrov spaces and applications to convex surfaces”, Pacific J. Math., 217:2 (2004), 375–386
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