Integral formulas in Crofton's style on the sphere and some inequalities referring to spherical curves

DOI10.1215/S0012-7094-42-00949-9zbMath0063.06699OpenAlexW1576706303MaRDI QIDQ2653323

L. A. Santaló

Publication date: 1942

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-42-00949-9

Related Items (13)

Bonnesen-style inequalities on surfaces of constant curvature ⋮ The length, width, and inradius of space curves ⋮ Reverse Bonnesen-style inequalities on surfaces of constant curvature ⋮ Bonnesen-style inequality for the first eigenvalue on a complete surface of constant curvature ⋮ Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature ⋮ On Bonnesen-type inequalities for a surface of constant curvature ⋮ The Bonnesen isoperimetric inequality in a surface of constant curvature ⋮ La Geometria Integrale ⋮ Geometric probability on the sphere ⋮ Integral-geometric formulas for perimeter in \(S^2\), \(H^2\) and Hilbert planes ⋮ Unnamed Item ⋮ Umkreise und Inkreise konvexer Kurven in der sphärischen und der hyperbolischen Geometrie ⋮ Shortest closed curve to inspect a sphere

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