15 pages, 0 figures.There are two natural metrics defined on an arbitrary convex cone: Thompson\'s part metric and Hilbert\'s projective metric. For both, we establish an inequality giving information about how far the metric is from being non-positively curved
International audienceWe develop the Funk and Hilbert geometries of open convex sets of the sphere S...
Abstract. In the asymmetric setting, Hilbert’s fourth problem asks to construct and study all (non-r...
In this paper we discuss three results. The first two concern general sets of positive reach: we fir...
In this paper we introduce a general notion of a symmetric cone, valid for the finite and infinite d...
: A smooth bounded convex domain equipped with its Hilbert metric provides a nice example of Finsler...
summary:The cycle time of an operator on $R^n$ gives information about the long term behaviour of it...
AbstractHilbert's metric on a cone K is a measure of distance between the rays of K. Hilbert's metri...
Abstract. We prove that the isoperimetric inequalities in the euclidean and hyperbolic plane hold fo...
ABSTRACT. In this paper we introduce a general notion of a symmetric cone. valid for the finite and ...
AbstractWe shall discuss geometric properties of a quadrangle with parallelogramic properties in a c...
In a recent paper [7], we were led to consider a distance over a bounded open convex domain. It turn...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
International audienceOn any proper convex domain in real projective space there exists a natural Ri...
AbstractSmooth bounded convex domains equipped with their Hilbert metric provide nice examples of co...
AbstractDavid Hilbert discovered in 1895 an important metric that is canonically associated to an ar...
International audienceWe develop the Funk and Hilbert geometries of open convex sets of the sphere S...
Abstract. In the asymmetric setting, Hilbert’s fourth problem asks to construct and study all (non-r...
In this paper we discuss three results. The first two concern general sets of positive reach: we fir...
In this paper we introduce a general notion of a symmetric cone, valid for the finite and infinite d...
: A smooth bounded convex domain equipped with its Hilbert metric provides a nice example of Finsler...
summary:The cycle time of an operator on $R^n$ gives information about the long term behaviour of it...
AbstractHilbert's metric on a cone K is a measure of distance between the rays of K. Hilbert's metri...
Abstract. We prove that the isoperimetric inequalities in the euclidean and hyperbolic plane hold fo...
ABSTRACT. In this paper we introduce a general notion of a symmetric cone. valid for the finite and ...
AbstractWe shall discuss geometric properties of a quadrangle with parallelogramic properties in a c...
In a recent paper [7], we were led to consider a distance over a bounded open convex domain. It turn...
The Hilbert metric on convex subsets of $\mathbb R^n$ has proven a rich notion and has been extensiv...
International audienceOn any proper convex domain in real projective space there exists a natural Ri...
AbstractSmooth bounded convex domains equipped with their Hilbert metric provide nice examples of co...
AbstractDavid Hilbert discovered in 1895 an important metric that is canonically associated to an ar...
International audienceWe develop the Funk and Hilbert geometries of open convex sets of the sphere S...
Abstract. In the asymmetric setting, Hilbert’s fourth problem asks to construct and study all (non-r...
In this paper we discuss three results. The first two concern general sets of positive reach: we fir...