Ulam floating bodies

Han Huang; Boaz A. Slomka; Elisabeth M. Werner

doi:10.1112/jlms.12226

Ulam floating bodies

Han Huang, Boaz A. Slomka, Elisabeth M. Werner

Research output: Contribution to journal › Article › peer-review

Abstract

We study a new construction of bodies from a given convex body in R_n which are isomorphic to (weighted) floating bodies. We establish several properties of this new construction, including its relation to (Formula presented.) -affine surface areas. We show that these bodies are related to Ulam' s long-standing floating body problem which asks whether Euclidean balls are the only bodies that can float, without turning, in any orientation.

Original language	English
Pages (from-to)	425-446
Number of pages	22
Journal	Journal of the London Mathematical Society
Volume	100
Issue number	2
DOIs	https://doi.org/10.1112/jlms.12226
State	Published - 1 Oct 2019
Externally published	Yes

Keywords

52A20
52A27
52A38 (primary)

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1112/jlms.12226

Cite this

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title = "Ulam floating bodies",

abstract = "We study a new construction of bodies from a given convex body in Rn which are isomorphic to (weighted) floating bodies. We establish several properties of this new construction, including its relation to (Formula presented.) -affine surface areas. We show that these bodies are related to Ulam' s long-standing floating body problem which asks whether Euclidean balls are the only bodies that can float, without turning, in any orientation.",

keywords = "52A20, 52A27, 52A38 (primary)",

author = "Han Huang and Slomka, \{Boaz A.\} and Werner, \{Elisabeth M.\}",

note = "Publisher Copyright: {\textcopyright} 2019 London Mathematical Society",

year = "2019",

month = oct,

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doi = "10.1112/jlms.12226",

language = "الإنجليزيّة",

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AU - Slomka, Boaz A.

AU - Werner, Elisabeth M.

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AB - We study a new construction of bodies from a given convex body in Rn which are isomorphic to (weighted) floating bodies. We establish several properties of this new construction, including its relation to (Formula presented.) -affine surface areas. We show that these bodies are related to Ulam' s long-standing floating body problem which asks whether Euclidean balls are the only bodies that can float, without turning, in any orientation.

KW - 52A20

KW - 52A27

KW - 52A38 (primary)

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U2 - 10.1112/jlms.12226

DO - 10.1112/jlms.12226

M3 - مقالة

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VL - 100

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EP - 446

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JF - Journal of the London Mathematical Society

IS - 2

ER -

Ulam floating bodies

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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