13 citations · 29 across the 3 of their papers we have counts for
6 papers
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…
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…
On the integral formulas of Crofton and Hurwitz relative to the visual angle of a convex set
J. Cufí, E. Gallego, A. Reventós
We provide a unified approach that encompasses some integral formulas for functions of the visual angle of a compact convex set due to Crofton, Hurwitz and Masotti. The basic tool…
A note on Hurwitz's inequality
Julià Cufí, Eduardo Gallego, Agustí Reventós
Given a simple closed plane curve of length enclosing a compact convex set of area , Hurwitz found an upper bound for the isoperimetric deficit, namely $L^2-4πF\leq…
Convexity on Complex Hyperbolic Space
J. Abardia, E. Gallego
In a Riemannian manifold a regular convex domain is said to be -convex if its normal curvature at each point is greater than or equal to . In a Hadamard manifold, the asympto…
The Gauss-Bonnet theorem and Crofton type formulas in complex space forms
Judit Abardia, Eduardo Gallego, Gil Solanes
We compute the measure with multiplicity of the set of complex planes intersecting a compact domain in a complex space form. The result is given in terms of the so-called hermitian…