Santaló's formula

id: santal-s-formula-250-14533099
title: Santaló's formula
text: In differential geometry, Santaló's formula describes how to integrate a function on the unit sphere bundle of a Riemannian manifold by first integrating along every geodesic separately and then over the space of all geodesics. It is a standard tool in integral geometry and has applications in isoperimetric and rigidity results. The formula is named after Luis Santaló, who first proved the result in 1952.
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original url: https://en.wikipedia.org/wiki/Santal%C3%B3%27s_formula
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date modified: 2024-04-22T05:10:11Z
main entity: {"identifier":"Q95405410","url":"https://www.wikidata.org/entity/Q95405410"}
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