A characterization of compact convex polyhedra in hyperbolic 3-space.
A characterization of compact convex polyhedra in hyperbolic 3-space (Corrigendum).
A characterization of regular saddle surfaces in the hyperbolic and spherical three-space.
A combinatorial curvature flow for compact 3-manifolds with boundary.
Approximation of spherical caps by polygons
Choquet theory in metric spaces.
Compact hyperbolic tetrahedra with non-obtuse dihedral angles.
Given a combinatorial description C of a polyhedron having E edges, the space of dihedral angles of all compact hyperbolic polyhedra that realize C is generally not a convex subset of RE. If C has five or more faces, Andreev's Theorem states that the corresponding space of dihedral angles AC obtained by restricting to non-obtuse angles is a convex polytope. In this paper we explain why Andreev did not consider tetrahedra, the only polyhedra having fewer than five faces, by demonstrating that the...
Covering large balls with convex sets in spherical space.
Das Umkugelproblem und lineare semiinfinite Optimierung
Diameter-Extremal Subsets of Spheres.
Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature
We relate the total curvature and the isoperimetric deficit of a curve in a two-dimensional space of constant curvature with the area enclosed by the evolute of . We provide also a Gauss-Bonnet theorem for a special class of evolutes.
Homotopy for small multifunctions
Hyperbolic geometry in hyperbolically k-convex regions
Hyperideal polyhedra in hyperbolic 3-space
A hyperideal polyhedron is a non-compact polyhedron in the hyperbolic -space which, in the projective model for , is just the intersection of with a projective polyhedron whose vertices are all outside and whose edges all meet . We classify hyperideal polyhedra, up to isometries of , in terms of their combinatorial type and of their dihedral angles.
Hyperlogarithmic expansion and the volume of a hyperbolic simplex
Nonexpansive retracts in Banach spaces
We study various aspects of nonexpansive retracts and retractions in certain Banach and metric spaces, with special emphasis on the compact nonexpansive envelope property.
On a New Method for Constructing Good Point Sets on Spheres.
On some packings of the hyperbolic plane by incongruent hypercyclic domains.
On the curvature of nonregular saddle surfaces in the hyperbolic and spherical three-space.
On the monotonicity of the volume of hyperbolic convex polyhedra.