Note on convex curves on the hyperbolic plane

DOI10.1090/S0002-9904-1945-08366-9zbMath0061.38005OpenAlexW2066113419MaRDI QIDQ5837733

L. A. Santaló

Publication date: 1945

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1945-08366-9

zbMATH Keywords

metric geometry, convex geometry, integral geometry

Related Items (15)

Vertex-type curves in constant angle surfaces of ℋ𝓎𝓅²×ℝ ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Constant width and transnormality in spheres ⋮ La Geometria Integrale ⋮ Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space ⋮ Width of convex bodies in hyperbolic space ⋮ Width of convex bodies in spaces of constant curvature ⋮ Integral-geometric formulas for perimeter in \(S^2\), \(H^2\) and Hilbert planes ⋮ Uniqueness results for bodies of constant width in the hyperbolic plane ⋮ Caustic-free regions for billiards on surfaces of constant curvature ⋮ Diameter, width and thickness in the hyperbolic plane ⋮ Unnamed Item ⋮ h-konvexe Kurven in der hyperbolischen Ebene ⋮ Curves of constant width in the non-Euclidean geometry

Cites Work

• Unnamed Item
• Integral geometry on surfaces of constant negative curvature
• Note on convex spherical curves

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