Integral geometry of pairs of planes

Julià Cufí; Eduardo Gallego; Agustí Reventós

doi:10.1007/s00013-021-01651-8

Integral geometry of pairs of planes

Julià Cufí, Eduardo Gallego^*, Agustí Reventós

^*Autor correspondiente de este trabajo

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Resumen

We deal with integrals of invariant measures of pairs of planes in the Euclidean space E³ as considered by Hug and Schneider. In this paper, we express some of these integrals in terms of functions of the visual angle of a convex set. As a consequence of our results, we evaluate the deficit in a Crofton-type inequality due to Blaschke.

Idioma original	Inglés
Páginas (desde-hasta)	579-591
Número de páginas	13
Publicación	Archiv der Mathematik
Volumen	117
N.º	5
DOI	https://doi.org/10.1007/s00013-021-01651-8
Estado	Publicada - 1 nov 2021

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10.1007/s00013-021-01651-8

https://ddd.uab.cat/record/288117

Otros archivos y enlaces

Invariantes locales y globales en geometria
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Ministerio de Ciencia e Innovación (MICINN), Fondo Europeo de Desarrollo Regional (FEDER)
1/01/19 → 30/09/22
Proyecto: Proyectos y Ayudas de Investigación

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abstract = "We deal with integrals of invariant measures of pairs of planes in the Euclidean space E3 as considered by Hug and Schneider. In this paper, we express some of these integrals in terms of functions of the visual angle of a convex set. As a consequence of our results, we evaluate the deficit in a Crofton-type inequality due to Blaschke.",

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AU - Gallego, Eduardo

AU - Reventós, Agustí

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Integral geometry of pairs of planes

Resumen

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Otros archivos y enlaces

Huella

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Invariantes locales y globales en geometria

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