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 corresponent d’aquest treball

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Resum

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	Anglès
Pàgines (de-a)	579-591
Nombre de pàgines	13
Revista	Archiv der Mathematik
Volum	117
Número	5
DOIs	https://doi.org/10.1007/s00013-021-01651-8
Estat de la publicació	Publicada - 1 de nov. 2021

Accés al document

10.1007/s00013-021-01651-8

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

Altres arxius i enllaços

Invariantes locales y globales en geometria
Solanes Farres, G. (PI), Balacheff , F. N. (Co-Investigador/a Principal), Rubio Nuñez, R. (Col.laborador/a), Gallego Gomez, E. (Investigador/a), Heusener, M. (Investigador/a), Marin Perez, D. (Investigador/a), Meersseman, L. (Investigador/a), Nicolau Reig, M. (Investigador/a), Porti Pique, J. (Investigador/a), Reventos Tarrida, A. (Investigador/a) & Mijares Verdú, S. (Col.laborador/a)
Ministerio de Ciencia e Innovación (MICINN)
1/01/19 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca

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AU - Reventós, Agustí

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N2 - 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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KW - Invariant measure

KW - Visual angle

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Integral geometry of pairs of planes

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Altres arxius i enllaços

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Invariantes locales y globales en geometria

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