Width and breadth for convex bodies in Riemannian manifolds

DOI10.1007/BF01191885zbMath0726.52001OpenAlexW1996683675WikidataQ115393939 ScholiaQ115393939MaRDI QIDQ803940

Boris V. Dekster

Publication date: 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191885

zbMATH Keywords

Riemannian manifoldconstant widthwidth of a convex body

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (1)

Infinite-dimensional hyperspaces of convex bodies of constant width

Cites Work

• In- and circumcenters of manifolds of constant width
• Compact two-transnormal hypersurfaces in a space of constant curvature
• Transnormal hypersurfaces. Generalized constant width for Riemannian manifolds
• On the structure of complete manifolds of nonnegative curvature
• CONVEX SETS IN RIEMANNIAN SPACES OF NON-NEGATIVE CURVATURE
• TRANSNORMAL SYSTEMS
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