Ulam floating bodies

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

doi:https://doi.org/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

https://doi.org/10.1112/jlms.12226

Cite this

@article{b8db741ea9bc4e1d8c8409b6a333fde5,

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,

day = "1",

doi = "https://doi.org/10.1112/jlms.12226",

language = "الإنجليزيّة",

volume = "100",

pages = "425--446",

journal = "Journal of the London Mathematical Society",

issn = "0024-6107",

publisher = "John Wiley and Sons Ltd",

number = "2",

}

TY - JOUR

T1 - Ulam floating bodies

AU - Huang, Han

AU - Slomka, Boaz A.

AU - Werner, Elisabeth M.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - 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.

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)

UR - http://www.scopus.com/inward/record.url?scp=85065651528&partnerID=8YFLogxK

U2 - https://doi.org/10.1112/jlms.12226

DO - https://doi.org/10.1112/jlms.12226

M3 - مقالة

SN - 0024-6107

VL - 100

SP - 425

EP - 446

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 2

ER -

Ulam floating bodies

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this