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math.DG2026
On the Minkowski deficit for surfaces of revolution
Joaquim Bruna, Julià Cufí, Agustí Reventós
By studying the classical Minkowski's inequality, , relating area and mean curvature, in the particular case of convex surfaces of revolution, one is led to a functi…
math.DG2021
Integral Geometry of pairs of planes
Julià Cufí, Eduardo Gallego, Agustí Reventós
We deal with integrals of invariant measures of pairs of planes in euclidean space as considered by Hug and Schneider. In this paper we express some of these integra…
math.DG2019
Integral Geometry about the visual angle of a convex set
Julià Cufí, Eduardo Gallego, Agustí Reventós
In this paper we deal with a general type of integral formulas of the visual angle, among them those of Crofton, Hurwitz and Masotti, from the point of view of Integral Geometry. T…