Une deuxième surface à courbure moyenne prescrite s'appuyant sur une courbe donnée
Une famille d’inégalités pour les ensembles convexes du plan
Nous considérons une famille de fonctions ne dépendant que de la forme d’un ensemble convexe du plan. Nous en donnons des majorations faisant intervenir le plus petit rapport des rayons des couronnes qui contiennent la frontière de ce convexe.
Une inégalité isopérimétrique en courbure négative d'après Christopher B. Croke
Une relation entre diamètre extrinsèque, intégrale de la courbe de Gauss et inradius pour les hypersurfaces localement convexes d'un espace euclidien.
Ungleichungen für die Quermassenintegrale polarer Körper.
Uniform properties of collections of convex bodies.
Unique reducibility of subsets of commutative topological groups and semigroups.
Uniqueness of Cartesian Products of Compact Convex Sets
Let , i∈ I, and , j∈ J, be compact convex sets whose sets of extreme points are affinely independent and let φ be an affine homeomorphism of onto . We show that there exists a bijection b: I → J such that φ is the product of affine homeomorphisms of onto , i∈ I.
Universal counting of lattice points in polytopes.
Universal tessellations.
All maps of type (m,n) are covered by a universal map M(m,n) which lies on one of the three simply connected Riemann surfaces; in fact M(m,n) covers all maps of type (r,s) where r|m and s|n. In this paper we construct a tessellation M which is universal for all maps on all surfaces. We also consider the tessellation M(8,3) which covers all triangular maps. This coincides with the well-known Farey tessellation and we find many connections between M(8,3) and M.
Upper Bounds for Configurations and Polytopes in Rd
Upper bounds for the norm of Fekete polynomials on subarcs
Upper Bounds on Geometric Permutations for Convex Sets.
Upper estimates on self-perimeters of unit circles for gauges
Let M² denote a Minkowski plane, i.e., an affine plane whose metric is a gauge induced by a compact convex figure B which, as a unit circle of M², is not necessarily centered at the origin. Hence the self-perimeter of B has two values depending on the orientation of measuring it. We prove that this self-perimeter of B is bounded from above by the four-fold self-diameter of B. In addition, we derive a related non-trivial result on Minkowski planes whose unit circles are quadrangles.
User's Guide to Equivariant Methods in Combinatorics
User's guide to equivariant methods in combinatorics. II.