Problems of Distance Geometry and Convex Properties of Quadratic Maps.
Producto, convexificación y completación de espacios métricos generalizados y probabilísticos.
En 1967 E. Trillas introdujo la noción de espacio métrico generalizado, al considerar métricas abstractas valoradas en semigrupos ordenados, unificando con este punto de vista algebraico-reticular las estructuras métricas reales de M. Fréchet ([5]) y los espacios métricos probabilísticos de K. Menger ([6]) (así como los espacios Booleanos de Blumenthal ([4]) y las métricas naturales definidas en grupos ordenados). En el presente artículo se abordan los problemas de la topología del orden, del producto,...
Proximinality in geodesic spaces.
Réseaux de Coxeter-Davis et commensurateurs
For each integer and each finite graph , we construct a Coxeter group and a non positively curved polygonal complex on which acts properly cocompactly, such that each polygon of has edges, and the link of each vertex of is isomorphic to . If is a “generalized -gon”, then is a Tits building modelled on a reflection group of the hyperbolic plane. We give a condition on for to be non enumerable (which is satisfied if is a thick classical generalized -gon). On the other hand,...
Rigidity and Energy.
Some cases of compatibility of the tangency relations of sets.
Some characteristic and non-characteristic properties of inner product spaces
Sphere-and-Point Incidence Relations in High Dimensions with Applications to Unit Distances and Furthest-Neighbor Pairs.
Stabilité de l'inégalité de Faber-Krahn en courbure de Ricci positive
P. Bérard et D. Meyer ont démontré une inégalité du type Faber-Krahn pour les domaines d'une variété compacte à courbure de Ricci positive. Nous démontrons des résultats de stabilité associés à cette inégalité.
Strictly convex spheres in V-spaces
Strong infinitesimal linearity, with applications to strong difference and affine connections
Sur la distance d'un point à une droite
Sur les modèles de la géométrie différentielle synthétique
Synthetic differential geometry of higher-order total differentials
Synthetic Reasoning In Differential Geometry.
Tangency relations for sets in some classes in generalized metric spaces
Terminal subsets of convex sets in finite-dimensional real normed spaces
The affine bundle theorem in synthetic differential geometry of jet bundles.
The Cayley–Menger determinant is irreducible for .
The CC-version of Stewart's theorem.