| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 28, Number 3, June 2023
|
|
|---|---|---|
| Page(s) | 217 - 220 | |
| DOI | https://doi.org/10.1051/wujns/2023283217 | |
| Published online | 13 July 2023 | |
Mathematics
CLC number: O186
The Non-Convergence of Steiner Symmetrizations
School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
† To whom correspondence should be addressed. E-mail: yjl@ctbu.edu.cn
Received:
12
November
2022
In this paper, we demonstrate the existence of iterated Steiner symmetrizations of 
that does not converge, even if the sequence of directions is dense in the unit sphere.
Key words: convex body / compact set / Steiner symmetrization / non-convergence
Biography: WANG Tian, male, Master candidate, research direction: convex geometric analysis. E-mail: 2020610032@email.ctbu.edu.cn
Fundation item: Supported by the National Natural Science Foundation of China (11971080), Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202000838), the Basic and Advanced Research Project of Chongqing(cstc2018jcyjAX0790, cstc2020jcyj-msxmX0328) and the Innovative Project of Chongqing Technology and Business University(yjscxx2022-112-72)
© Wuhan University 2023
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