Uniqueness results for bodies of constant width in the hyperbolic plane

M. Angeles Alfonseca; Michelle Cordier; Dan I. Florentin

doi:https://doi.org/10.1515/advgeom-2021-0014

Uniqueness results for bodies of constant width in the hyperbolic plane

M. Angeles Alfonseca, Michelle Cordier, Dan I. Florentin

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

Abstract

Following Santaló's approach, we prove several characterizations of a disc among bodies of constant width, constant projection lengths, or constant section lengths on given families of geodesics.

Original language	English
Pages (from-to)	391-400
Number of pages	10
Journal	Advances in Geometry
Volume	21
Issue number	3
DOIs	https://doi.org/10.1515/advgeom-2021-0014
State	Published - 1 Jul 2021
Externally published	Yes

Keywords

Body of constant width
hyperbolic plane

All Science Journal Classification (ASJC) codes

Geometry and Topology

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https://doi.org/10.1515/advgeom-2021-0014

Cite this

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title = "Uniqueness results for bodies of constant width in the hyperbolic plane",

abstract = "Following Santal{\'o}'s approach, we prove several characterizations of a disc among bodies of constant width, constant projection lengths, or constant section lengths on given families of geodesics.",

keywords = "Body of constant width, hyperbolic plane",

author = "{Angeles Alfonseca}, M. and Michelle Cordier and Florentin, {Dan I.}",

note = "Publisher Copyright: {\textcopyright} 2021 Walter de Gruyter GmbH, Berlin/Boston 2021.",

year = "2021",

month = jul,

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doi = "https://doi.org/10.1515/advgeom-2021-0014",

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AU - Angeles Alfonseca, M.

AU - Cordier, Michelle

AU - Florentin, Dan I.

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Y1 - 2021/7/1

N2 - Following Santaló's approach, we prove several characterizations of a disc among bodies of constant width, constant projection lengths, or constant section lengths on given families of geodesics.

AB - Following Santaló's approach, we prove several characterizations of a disc among bodies of constant width, constant projection lengths, or constant section lengths on given families of geodesics.

KW - Body of constant width

KW - hyperbolic plane

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U2 - https://doi.org/10.1515/advgeom-2021-0014

DO - https://doi.org/10.1515/advgeom-2021-0014

M3 - مقالة

SN - 1615-715X

VL - 21

SP - 391

EP - 400

JO - Advances in Geometry

JF - Advances in Geometry

IS - 3

ER -

Uniqueness results for bodies of constant width in the hyperbolic plane

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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