A universal convex set in Euclidean space
A universal convex set in Euclidean space
A weighted geometric inequality and its applications.
Abelian groups that cannot be factored without periodic factor
About a problem of Ulam concerning flat sections of manifolds.
About an inequality of Kubota for plane convex figures.
About some Riemann surfaces and plane tilings.
About the domino problem in the hyperbolic plane from an algorithmic point of view
This paper is a contribution to the general tiling problem for the hyperbolic plane. It is an intermediary result between the result obtained by R. Robinson [Invent. Math.44 (1978) 259–264] and the conjecture that the problem is undecidable.
Absolutely linear relations.
Absolutely linear relations (Short Communication).
Acknowledgment of Priority Concerning: Polytopes that Fill R" and Scissors Congruence.
Addition and subtraction of homothety classes of convex sets.
Affine perimeter and limit shape.
Affine-regular hexagons of extreme areas inscribed in a centrally symmetric convex body.
Aire de l'Ellipse déterminée par cinq points.
Alexander duality in subdivisions of Lawrence polytopes.
Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes
We present a constructive proof of Alexandrov’s theorem on the existence of a convex polytope with a given metric on the boundary. The polytope is obtained by deforming certain generalized convex polytopes with the given boundary. We study the space of generalized convex polytopes and discover a connection with weighted Delaunay triangulations of polyhedral surfaces. The existence of the deformation follows from the non-degeneracy of the Hessian of the total scalar curvature of generalized convex...
Algebraic and geometric approach to the classification of semispaces.
Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes.
Algorithmen zur Unimodalitötsbestimmung einfacher Polygone