{ "dc.contributor.author": "Santaló, Lluís" , "dc.date.accessioned": "2009-10-28T15:07:23Z" , "dc.date.available": "2009-10-28T15:07:23Z" , "dc.date.created": "1943" , "dc.identifier.citation": "Santalo, L.A (1943). Integral Geometry on Surfaces of Constant Negative Curvature. Duke Mathematical Journal, 10 (4), 687-704. Duke University Press. All rights reserved. Used by permission of the publisher" , "dc.identifier.uri": "http://hdl.handle.net/10256.2/10860" , "dc.description.abstract": "We use the expression Integral geometry in the sense given it by Blaschke in “Vorlesungen über Integrtüçeomelrie”. In a previous paper (“Integral formulas in Croflon style on the sphere and some inequalities referring to spherical curve” (1942), Duke Mathematical Journal, vol. 9, pp. 707) we generalized to the sphere many formulas of plane integral geometry and at the same time applied these to the demonstration of certain inequalities referring to spherical curves. The present paper considers analogous qüestions for surfaces of constant negative curvature and consequently for hyperbolic geometry" , "dc.description.uri": "https://doi.org/10.1215/S0012-7094-43-01064-6" , "dc.format.mimetype": "application/pdf" , "dc.language.iso": "eng" , "dc.publisher": "Duke University Press" , "dc.relation.ispartof": "Duke Mathematical Journal, 1943, vol. 10, núm. 4, p. 687-704" , "dc.relation.ispartofseries": "Publicacions" , "dc.rights": "Tots els drets reservats" , "dc.subject": "Espais hiperbòlics" , "dc.subject": "Geometria integral" , "dc.subject": "Geometria no euclidiana" , "dc.subject": "Geometry, Non-Euclidian" , "dc.subject": "Hyperbolic spaces" , "dc.subject": "Integral geometry" , "dc.title": "Integral Geometry on Surfaces of Constant Negative Curvature" , "dc.type": "info:eu-repo/semantics/article" , "dc.rights.accessRights": "info:eu-repo/semantics/openAccess" }