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Integral Geometry on Surfaces of Constant Negative Curvature

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

https://doi.org/10.1215/S0012-7094-43-01064-6

Duke University Press

Autor: Santaló, Lluís
Data: 1943
Resum: 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
https://doi.org/10.1215/S0012-7094-43-01064-6
Format: application/pdf
Altres identificadors: 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
Accés al document: http://hdl.handle.net/10256.2/10860
Llenguatge: eng
Editor: Duke University Press
Drets: Tots els drets reservats
Títol: Integral Geometry on Surfaces of Constant Negative Curvature
Tipus: info:eu-repo/semantics/article
Repositori: DUGiFonsEspecials

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