Isoperimetric type problems and Alexandrov–Fenchel type inequalities in the hyperbolic space -
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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 …

We consider the quermassintegral preserving flow of closed h-convex hypersurfaces in
hyperbolic space with the speed given by any positive power of a smooth symmetric, strictly …

We employ the harmonic mean curvature flow of strictly convex closed hypersurfaces in
hyperbolic space to prove Alexandrov-Fenchel type inequalities relating quermassintegrals …

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 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 …

The sum of the inner of a hyperbolic triangle is always below π. The difference with that
value is the so-called defect of the triangle, and coincides with its area. This result belongs to …