Circumscribed simplices of minimal mean width.
Classical solids.
Combinatorial lemmas for polyhedrons
We formulate general boundary conditions for a labelling to assure the existence of a balanced n-simplex in a triangulated polyhedron. Furthermore we prove a Knaster-Kuratowski-Mazurkiewicz type theorem for polyhedrons and generalize some theorems of Ichiishi and Idzik. We also formulate a necessary condition for a continuous function defined on a polyhedron to be an onto function.
Combinatorial lemmas for polyhedrons I
We formulate general boundary conditions for a labelling of vertices of a triangulation of a polyhedron by vectors to assure the existence of a balanced simplex. The condition is not for each vertex separately, but for a set of vertices of each boundary simplex. This allows us to formulate a theorem, which is more general than the Sperner lemma and theorems of Shapley; Idzik and Junosza-Szaniawski; van der Laan, Talman and Yang. A generalization of the Poincaré-Miranda theorem is also derived.
Compact convex bodies with one curvature measure near the surface measure.
Comparison between the generalized mean curvature according to Allard and Federer's mean curvature measure
Complete extension of a convex function
Computing the Volume, Counting Integral Points, and Exponential Sums.
Concentration inequalities for s-concave measures of dilations of Borel sets and applications.
Cones of polynomials
Congruence, Similarity, and Symmetries of Geometric Objects.
Conjugacy for closed convex sets.
Continuous rotation invariant valuations on convex sets.
Contributions to Affine Surface Area.
Convex bodies of constant width and the Apollonian metric.
Convex cones in finite-dimensional real vector spaces
Convex half-spaces
Convex hulls of integral points.
Convex hulls of polyominoes.
Convex Polytopes Whose Projection Bodies and Difference Sets Are Polars.