We prove that a closed surface with a CAT(κ) metric has Hausdorff dimension = 2, and that there are uniform upper and lower bounds on the two-dimensional Hausdorff measure of small metric balls. We also discuss a connection between this uniformity condition and some results on the dynamics of the geodesic flow for such surfaces. Finally,we give a short proof of topological entropy rigidity for geodesic flow on certain CAT(−1) manifolds
AbstractLet I(k, α, M) be the class of all subsets A of Rk whose boundaries are given by functions f...
Let S be a compact oriented surface. We construct homogeneous quasimorphisms on Diff(S, area), on Di...
Abstract Given a compact n-dimensional immersed Riemannian manifold Mn in some Euclidean space we pr...
Apresentamos duas propriedades genéricas para difeomorfismos conservativos da classe \'C POT.1\' sob...
Abstract. We show that the set of C ∞ riemannian metrics on S2 or RP 2 whose geodesic flow has posit...
We investigate a quasisymmetrically invariant counterpart of the topological Hausdorff dimension of ...
In der vorliegenden Arbeit wird das Verhalten von Geodätischen auf einem zwei-dimensionalen Torus mi...
Examples show that Riemannian manifolds with almost-Euclidean lower bounds on scalar curvature and P...
Abstract. We study the Hausdorff dimension and the pointwise di-mension of measures that are not nec...
Abstract We continue our investigation of the space of geodesic lamina-tions on a surface, endowed w...
Abstract. The geodesic flow of the flat metric on a torus is minimizing the polynomial entropy among...
Abstract Let (T 2 , g) be the two-dimensional Riemannian torus. In this paper we prove that the topo...
Abstract. We construct symbolic dynamics on sets of full measure (w.r.t. an ergodic measure of posit...
We show the equivalences of several notions of entropy, like a version of the topological entropy of...
We establish uniformization results for metric spaces that are homeomorphic to the Euclidean plane ...
AbstractLet I(k, α, M) be the class of all subsets A of Rk whose boundaries are given by functions f...
Let S be a compact oriented surface. We construct homogeneous quasimorphisms on Diff(S, area), on Di...
Abstract Given a compact n-dimensional immersed Riemannian manifold Mn in some Euclidean space we pr...
Apresentamos duas propriedades genéricas para difeomorfismos conservativos da classe \'C POT.1\' sob...
Abstract. We show that the set of C ∞ riemannian metrics on S2 or RP 2 whose geodesic flow has posit...
We investigate a quasisymmetrically invariant counterpart of the topological Hausdorff dimension of ...
In der vorliegenden Arbeit wird das Verhalten von Geodätischen auf einem zwei-dimensionalen Torus mi...
Examples show that Riemannian manifolds with almost-Euclidean lower bounds on scalar curvature and P...
Abstract. We study the Hausdorff dimension and the pointwise di-mension of measures that are not nec...
Abstract We continue our investigation of the space of geodesic lamina-tions on a surface, endowed w...
Abstract. The geodesic flow of the flat metric on a torus is minimizing the polynomial entropy among...
Abstract Let (T 2 , g) be the two-dimensional Riemannian torus. In this paper we prove that the topo...
Abstract. We construct symbolic dynamics on sets of full measure (w.r.t. an ergodic measure of posit...
We show the equivalences of several notions of entropy, like a version of the topological entropy of...
We establish uniformization results for metric spaces that are homeomorphic to the Euclidean plane ...
AbstractLet I(k, α, M) be the class of all subsets A of Rk whose boundaries are given by functions f...
Let S be a compact oriented surface. We construct homogeneous quasimorphisms on Diff(S, area), on Di...
Abstract Given a compact n-dimensional immersed Riemannian manifold Mn in some Euclidean space we pr...
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