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Notes on the integral geometry in the hyperbolic plane

The Integral Geometry in the hyperbolic plane was initiated many years ago in the article “Integral Geometry on surfaces of constant negative curvature”, written by LL.A. Santaló, in 1943. Later on, it was applied to the geometry of random mosaics in the hyperbolic plane [Santaló, Ll. A. and Yanez, I., 1972]. In the present work we extend to the hyperbolic plane some new results of the Euclidean integral geometry which have been given in recent years for several authors, in particular certain results of H. Hadwiger and some formulas of H. J. Firey, R. Schneider and W. Weil on the kinematic measure for sets of support figures

Sociedade Portuguesa de Matematica

Autor: Santaló, Lluís
Data: 1980
Resum: The Integral Geometry in the hyperbolic plane was initiated many years ago in the article “Integral Geometry on surfaces of constant negative curvature”, written by LL.A. Santaló, in 1943. Later on, it was applied to the geometry of random mosaics in the hyperbolic plane [Santaló, Ll. A. and Yanez, I., 1972]. In the present work we extend to the hyperbolic plane some new results of the Euclidean integral geometry which have been given in recent years for several authors, in particular certain results of H. Hadwiger and some formulas of H. J. Firey, R. Schneider and W. Weil on the kinematic measure for sets of support figures
Format: application/pdf
ISSN: 0032-5155
Altres identificadors: Santaló, L. (1980). Notes on the integral geometry in the hyperbolic plane. Portugaliae Mathematica, 39 (1-4), 239-249
Accés al document: http://hdl.handle.net/10256.2/8241
Llenguatge: eng
Editor: Sociedade Portuguesa de Matematica
Drets: Tots els drets reservats
Títol: Notes on the integral geometry in the hyperbolic plane
Tipus: info:eu-repo/semantics/article
Repositori: DUGiFonsEspecials

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