The length of the cut locus on convex surfaces
- Authors: Yuan L.1, Zamfirescu T.1,2
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Affiliations:
- Hebei Normal University
- Technischen Universität Dortmund
- Issue: Vol 88, No 3 (2024)
- Pages: 192-202
- Section: Articles
- URL: https://bakhtiniada.ru/1607-0046/article/view/257720
- DOI: https://doi.org/10.4213/im9485
- ID: 257720
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Abstract
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.
About the authors
Liping Yuan
Hebei Normal University
Email: Yuan@mail.ru
PhD, Professor
Tudor Zamfirescu
Hebei Normal University; Technischen Universität Dortmund
Author for correspondence.
Email: Yuan@mail.ru
References
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