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Archimedes' principle of flotation and floating bodies: construction, extensions and related problems

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成果类型:
期刊论文
作者:
Liu, Chunyan;Werner, Elisabeth M.;Ye, Deping;Zhang, Ning
通讯作者:
Liu, CY
作者机构:
[Liu, Chunyan] Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430048, Peoples R China.
[Werner, Elisabeth M.] Case Western Reserve Univ, Dept Math, Cleveland, OH 44106 USA.
[Ye, Deping] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
[Zhang, Ning] Huazhong Univ Sci & Technol, Sch Math & Stat, 1037 Luoyu Rd, Wuhan 430074, Peoples R China.
通讯机构:
[Liu, CY ] W
Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430048, Peoples R China.
语种:
英文
关键词:
floating body;affine surface area;log-concave functions
期刊:
数学物理学报(英文版)
ISSN:
0252-9602
年:
2025
卷:
45
期:
1
页码:
237-256
基金类别:
Wuhan Polytechnic University [2024RZ083]; NSF [DMS-2103482]; NSERC grant, Canada; NSF of China [11901217, 11971005]
机构署名:
本校为第一且通讯机构
院系归属:
数学与计算机学院
摘要:
In this article, we explain how the famous Archimedes' principle of flotation can be used to construct various floating bodies. We survey some of the most important results regarding the floating bodies, including their relations with affine surface area and projection body, their extensions in different settings such as space forms and log-concave fun...

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