Add to ORKGFor k ≥ 7, we determine the minimal area of a compact hyperbolic surface, and an oriented compact hyperbolic surface that can be tiled by embedded regular triangles of angle 2pi/k. Based on this, all the cases of equality in Lászlo ́ Fejes Tóth’s triangle bound for hyperbolic surfaces are described
proved that a stronger triangle inequality holds in the Euclidean plane for all triangles having lar...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
We determine optimal inequalities for the systole of all hyperbolic compact surfaces of caracteristi...
Abstract. We give sharp upper bounds on the maximal injectivity radius of finite-area hyperbolic sur...
15 pages, 4 figuresIn 1973, Brown, Erd\H{o}s and S\'os proved that if $\mathcal{H}$ is a 3-uniform h...
Motivated by recent work on Delaunay triangulations of hyperbolic surfaces, we consider the minimal ...
Abstract. We consider properly immersed finite topology minimal surfaces Σ in complete finite volume...
Abstract. We prove prove a bridge principle at infinity for area-minimizing surfaces in the hyperbol...
We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclide...
Abstract. We consider properly immersed finite topology minimal surfaces Σ in complete finite volume...
We prove there exists a compact embedded minimal surface in a complete finite volume hyperbolic 3-ma...
We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyp...
Abstract. A finite subset S of a closed hyperbolic surface F canonically determines a centered dual ...
International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian ...
Triangulations are among the most important and well-studied objects in computational geometry. A tr...
proved that a stronger triangle inequality holds in the Euclidean plane for all triangles having lar...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
We determine optimal inequalities for the systole of all hyperbolic compact surfaces of caracteristi...
Abstract. We give sharp upper bounds on the maximal injectivity radius of finite-area hyperbolic sur...
15 pages, 4 figuresIn 1973, Brown, Erd\H{o}s and S\'os proved that if $\mathcal{H}$ is a 3-uniform h...
Motivated by recent work on Delaunay triangulations of hyperbolic surfaces, we consider the minimal ...
Abstract. We consider properly immersed finite topology minimal surfaces Σ in complete finite volume...
Abstract. We prove prove a bridge principle at infinity for area-minimizing surfaces in the hyperbol...
We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclide...
Abstract. We consider properly immersed finite topology minimal surfaces Σ in complete finite volume...
We prove there exists a compact embedded minimal surface in a complete finite volume hyperbolic 3-ma...
We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyp...
Abstract. A finite subset S of a closed hyperbolic surface F canonically determines a centered dual ...
International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian ...
Triangulations are among the most important and well-studied objects in computational geometry. A tr...
proved that a stronger triangle inequality holds in the Euclidean plane for all triangles having lar...
International audienceWe prove there exists a compact embedded minimal surface in a complete finite ...
We determine optimal inequalities for the systole of all hyperbolic compact surfaces of caracteristi...