Uniqueness results for bodies of constant width in the hyperbolic plane

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

doi:10.1515/advgeom-2021-0014

Uniqueness results for bodies of constant width in the hyperbolic plane

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

Department of Mathematics

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

2 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2021 Walter de Gruyter GmbH, Berlin/Boston 2021.

Keywords

Body of constant width
hyperbolic plane

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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.",

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

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doi = "10.1515/advgeom-2021-0014",

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Uniqueness results for bodies of constant width in the hyperbolic plane

Abstract

Bibliographical note

Keywords

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