Convex floating bodies of equilibrium

D. I. Florentin; C. Schütt; E. M. Werner; N. Zhang

doi:10.1090/proc/15697

Convex floating bodies of equilibrium

D. I. Florentin, C. Schütt, E. M. Werner, N. Zhang

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

We study a long standing open problem by Ulam, which is whether the Euclidean ball is the unique body of uniform density which will float in equilibrium in any direction. We answer this problem in the class of origin symmetric n-dimensional convex bodies whose relative density to water is 1/2. For n = 3, this result is due to Falconer.

Original language	English
Title of host publication	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Pages	3037-3048
Number of pages	12
Volume	150
Edition	7
DOIs	https://doi.org/10.1090/proc/15697
State	Published - 1 Jul 2022

Publication series

Name	Proceedings of the American Mathematical Society
Publisher	American Mathematical Society
ISSN (Print)	0002-9939

Bibliographical note

Publisher Copyright:
© 2022 American Mathematical Society

Keywords

Ulam Problem
floating bodies

Access to Document

10.1090/proc/15697

Cite this

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Convex floating bodies of equilibrium

Abstract

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Keywords

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