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Uniqueness results for bodies of constant width in the hyperbolic plane

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Publication:2046816
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DOI10.1515/advgeom-2021-0014zbMath1475.52013arXiv1910.10248OpenAlexW3176355962WikidataQ115514512 ScholiaQ115514512MaRDI QIDQ2046816

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

Publication date: 19 August 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.10248


zbMATH Keywords

hyperbolic planebody of constant width


Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Spherical and hyperbolic convexity (52A55)


Related Items (1)

Stability of the isodiametric problem on the sphere and in the hyperbolic space



Cites Work

  • On sections of convex bodies in hyperbolic space
  • Minimum area of a set of constant width in the hyperbolic plane
  • Width of convex bodies in spaces of constant curvature
  • The Busemann--Petty problem in hyperbolic and spherical spaces
  • Curves of constant width in the non-Euclidean geometry
  • Note on convex curves on the hyperbolic plane
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