Structure of manifolds of nonpositive curvature. I
From MaRDI portal
Publication:1074138
DOI10.2307/1971373zbMath0589.53047OpenAlexW4244992316MaRDI QIDQ1074138
Werner Ballmann, Patrick Eberlein, Michael Brin
Publication date: 1985
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971373
Jacobi fieldsfundamental grouptotally geodesicgeodesicfirst integralsnonpositive sectional curvaturek-flat
Global Riemannian geometry, including pinching (53C20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (50)
Ergodic properties of equilibrium measures for smooth three dimensional flows ⋮ Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ Harmonic functions on rank one asymptotically harmonic manifolds ⋮ On the fundamental group of non-positively curved manifolds ⋮ Existence of flat tori in analytic manifolds of nonpositive curvature ⋮ Ergodic geometry for non-elementary rank one manifolds ⋮ Manifolds of nonpositive curvature and their buildings ⋮ Two-dimensional finite non-positively curved polyhedra of rank two ⋮ The transitivity of geodesic flows on rank 1 manifolds without focal points ⋮ Euclidean planes in three-dimensional manifolds of nonpositive curvature ⋮ Foliated control with hyperbolic leaves ⋮ Orbihedra of nonpositive curvature ⋮ Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature ⋮ Generic measures for hyperbolic flows on non-compact spaces ⋮ On the ergodicity of geodesic flows on surfaces without focal points ⋮ Hyperbolic rank rigidity for manifolds of -pinched negative curvature ⋮ Higher rank rigidity for Berwald spaces ⋮ The shifted wave equation on non-flat harmonic manifolds ⋮ \(\mathrm{CAT}(0)\) spaces of higher rank. I ⋮ Ramified coverings with nonpositive curvature ⋮ The higher rank rigidity theorem for manifolds with no focal points ⋮ Geodesic flow on the two-sphere, Part I: Positive measure entropy ⋮ Anatole Katok ⋮ Besicovitch covering lemma, Hadamard manifolds, and zero entropy ⋮ The uniqueness of Knieper measure on non-compact rank 1 manifolds of non-positive curvature ⋮ Dynamics of the geodesic flow of a foliation ⋮ Deformations of \(Q\)-curvature. I ⋮ Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature ⋮ On the geometric rank of homogeneous spaces of nonpositive curvature ⋮ Minkowski versus Euclidean rank for products of metric spaces ⋮ The Monge-Ampère equation and warped products of higher rank ⋮ Analytic manifolds of nonpositive curvature with higher rank subspaces ⋮ Hopf-Tsuji-Sullivan dichotomy for quotients of Hadamard spaces with a rank one isometry ⋮ Unique equilibrium states for geodesic flows in nonpositive curvature ⋮ On the mixing and Bernoulli properties for geodesic flows on rank 1 manifolds without focal points ⋮ Rank rigidity for foliations by manifolds of nonpositive curvature ⋮ Tits geometry of cocompact real-analytic Hadamard manifolds of dimension 4 ⋮ On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points ⋮ Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces ⋮ A differential geometric characterization of symmetric spaces of higher rank ⋮ Existence of flats in manifolds of nonpositive curvature ⋮ Fat Flats in rank one manifolds ⋮ Isometry groups of non-positively curved spaces: structure theory ⋮ Positivity of simplicial volume for nonpositively curved manifolds with a Ricci-type curvature condition ⋮ Some remarks on the simplicial volume of nonpositively curved manifolds ⋮ Higher rank hyperbolicity ⋮ On the generic nonexistence of rational geodesic foliations in the torus, Mather sets and Gromov hyperbolic spaces ⋮ Spherical rank rigidity and Blaschke manifolds ⋮ Open problems and questions about geodesics ⋮ Rigidity of nonpositively curved graph manifolds
This page was built for publication: Structure of manifolds of nonpositive curvature. I