| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 5, October 2022
|
|
|---|---|---|
| Page(s) | 367 - 371 | |
| DOI | https://doi.org/10.1051/wujns/2022275367 | |
| Published online | 11 November 2022 | |
Mathematics
CLC number: O 186
The Minkowski Measure of Asymmetry for Spherical Bodies of Constant Width
School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China
† To whom correspondence should be addressed. E-mail: jinhailin17@163.com
Received:
10
May
2022
In this paper, we introduce the Minkowski measure of asymmetry for the spherical bodies of constant width. Then we prove that the spherical balls are the most symmetric bodies among all spherical bodies of constant width, and the completion of the spherical regular simplexes are the most asymmetric bodies.
Key words: spherical convex body / spherical body of constant width / Minkowski measure of asymmetry / simplex / Reuleaux triangle
Biography: HOU Peiwen, female, Master candidate, research direction: convex geometric analysis. E-mail: houpeiwen6@163.com
Fundation item: Supported by the National Natural Science Foundation of China (12071334, 12071277)
© Wuhan University 2022
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