We prove:" If M is a compact hypersurface of the hyperbolic space, convex by horospheres
and evolving by the volume preserving mean curvature flow, then it flows for all time …

In this paper, a relationship between a vector variational inequality and a vector optimization
problem is given on a Hadamard manifold. An existence of a weak minimum for a …

We study a volume/area preserving curvature flow of hypersurfaces that are convex by
horospheres in the hyperbolic space, with velocity given by a generic positive, increasing …

Given a family of (almost) disjoint strictly convex subsets of a complete negatively curved
Riemannian manifold M, such as balls, horoballs, tubular neighbourhoods of totally …

We consider the class of λ-concave bodies in R n+ 1; that is, convex bodies with the property
that each of their boundary points supports a tangent ball of radius 1/λ that lies locally …

We give sharp upper estimates for the difference circumradius minus inradius and for the
angle between the radial vector (respect to the center of an inball) and the normal to the …

Integral geometry and geometric inequalities in hyperbolic space - ScienceDirect Skip to
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We consider curvature flows in hyperbolic space with a monotone, symmetric,
homogeneous of degree 1 curvature function F. Furthermore we assume F to be either …

In this paper we solve several reverse isoperimetric problems in the class of $\lambda $-
convex bodies, ie, convex bodies whose curvature at each point of their boundary is …

In a Hadamard manifold with sectional curvaturebounded from below by− k 2 2, we give
sharp upper estimates for the difference circumradius minus inradiusof a compact k 2 …