Asymptotic dimension of coarse spaces.
Asymptotic geometry of arithmetic quotients of symmetric spaces.
Asymptotic isoperimetry of balls in metric measure spaces.
In this paper, we study the asymptotic behavior of the volume of spheres in metric measure spaces. We first introduce a general setting adapted to the study of asymptotic isoperimetry in a general class of a metric measure space...
Asymptotic values of minimal graphs in a disc
We consider solutions of the prescribed mean curvature equation in the open unit disc of euclidean n-dimensional space. We prove that such a solution has radial limits almost everywhere; which may be infinite. We give an example of a solution to the minimal surface equation that has finite radial limits on a set of measure zero, in dimension two. This answers a question of Nitsche.
Asymptotic windings over the trefoil knot.
Consider the group G:=PSL2(R) and its subgroups Γ:= PSL2(Z) and Γ':=DSL2(Z). G/Γ is a canonical realization (up to an homeomorphism) of the complement S3T of the trefoil knot T, and G/Γ' is a canonical realization of the 6-fold branched cyclic cover of S3T, which has a 3-dimensional cohomology of 1-forms.Putting natural left-invariant Riemannian metrics on G, it makes sense to ask which is the asymptotic homology performed by the Brownian motion in G/Γ', describing thereby in an intrinsic way part...
Asymptotically equal generalized distances: induced topologies and -energy of a curve.
Asymptotics of complete Kähler-Einstein metrics – negativity of the holomorphic sectional curvature.
Atoroïdalité complète et annulation de l’invariant de Perelman
On résume les proprietés de l’invariant de Perelman, et en combinaison avec l’invariant de Yamabe on exprime certaines proprietés géométriques des variétés de dimension en fonction de . On décrit des exemples d’annulation de en dimension , où on trouve des liens entre l’effondrement et l’existence de métriques à courbure scalaire positive. On montre qu’une version d’atoroïdalité qu’on appelle atoroïdalité complète est détectée par sur les variétés de courbure négative ou nulle de dimension...
Au bord de certains polyèdres hyperboliques
Le cadre de cet article est celui des groupes et des espaces hyperboliques de M. Gromov. Il est motivé par la question suivante : comment différencier deux groupes hyperboliques à quasi-isométrie près ? On illustre ce problème en détaillant un exemple de M. Gromov issu de Asymptotic invariants for infinite groups. On décrit une famille infinie de groupes hyperboliques, deux à deux non quasi-isométriques, de bord la courbe de Menger. La méthode consiste à étudier leur structure quasi-conforme au...
Automorphiesummanden und Cousin-I-Probleme auf Faserräumen.
Automorphism Groups of Classical Mechanical Systems.
Automorphisms of certain Stein mainfolds.
Automorphisms of Spacetime Manifold with Torsion
In this paper we prove that the maximum dimension of the Lie group of automorphisms of the Riemann–Cartan 4-dimensional manifold does not exceed 8, and if the Cartan connection is skew-symmetric or semisymmetric, the maximum dimension is equal to 7. In addition, in the case of the Riemann–Cartan -dimensional manifolds with semisymmetric connection the maximum dimension of the Lie group of automorphisms is equal to for any .
Automorphisms, Orbits, and Homogeneous Spaces of Non-Connected Lie Groups.
Autour de la conjecture de L. Markus sur les variétés affines.
Axial Isometries of Manifolds of Non-Positive Curvature.
B. Y. Chen's inequality for semi-slant submanifolds in -space forms.
Bäcklund transforms of conformal maps into the 4-sphere
Balanced metrics and noncommutative Kähler geometry.
Ball models in Hermitian spaces.