Manifolds of nonpositive curvature and their buildings
From MaRDI portal
Publication:1101975
DOI10.1007/BF02698934zbMath0643.53037OpenAlexW2088927897MaRDI QIDQ1101975
Publication date: 1987
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_1987__65__35_0
Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Topological geometries on manifolds (51H20)
Related Items (60)
Manifolds with many hyperbolic planes ⋮ Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ Positively curved manifolds with large spherical rank ⋮ On tori without conjugate points ⋮ On the work of Rodriguez Hertz on rigidity in dynamics ⋮ Ergodic geometry for non-elementary rank one manifolds ⋮ On topological Tits buildings and their classification ⋮ Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ Two-dimensional finite non-positively curved polyhedra of rank two ⋮ Martin compactification of a complete surface with negative curvature ⋮ Asymptotic geometry and growth of conjugacy classes of nonpositively curved manifolds ⋮ Orbihedra of nonpositive curvature ⋮ Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature ⋮ Three-manifolds with many flat planes ⋮ Divergence, thick groups, and short conjugators ⋮ Proper proximality in non-positive curvature ⋮ Hyperbolic rank rigidity for manifolds of -pinched negative curvature ⋮ A higher-rank rigidity theorem for convex real projective manifolds ⋮ Higher rank rigidity for Berwald spaces ⋮ Equilibrium states for self‐products of flows and the mixing properties of rank 1 geodesic flows ⋮ \(\mathrm{CAT}(0)\) spaces of higher rank. I ⋮ CAT(0) spaces of higher rank. II ⋮ On the structure of random graphs with constant \(r\)-balls ⋮ The higher rank rigidity theorem for manifolds with no focal points ⋮ Partially hyperbolic geodesic flows ⋮ Flat strips, Bowen–Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces ⋮ Algebraic ranks of the fundamental groups of high dimensional graph manifolds ⋮ Anatole Katok ⋮ Quasi-isometric invariance of continuous group \(L^p\)-cohomology, and first applications to vanishings ⋮ Algebraic ranks of CAT(0) groups. ⋮ Rigidity of convex divisible domains in flag manifolds ⋮ Clifford algebras and polar planes ⋮ Equivariant Novikov conjecture for groups acting on Euclidean buildings ⋮ Decomposition of spaces with geodesics contained in compact flats ⋮ Special geometry and the swampland ⋮ Three-manifolds of constant vector curvature one ⋮ On the geometric rank of homogeneous spaces of nonpositive curvature ⋮ Martin points on open manifolds of non-positive curvature ⋮ The Monge-Ampère equation and warped products of higher rank ⋮ Rank rigidity for CAT(0) cube complexes. ⋮ Analytic manifolds of nonpositive curvature with higher rank subspaces ⋮ Hopf-Tsuji-Sullivan dichotomy for quotients of Hadamard spaces with a rank one isometry ⋮ Acylindrical hyperbolicity of groups acting on trees ⋮ Rank rigidity for foliations by manifolds of nonpositive curvature ⋮ Curvature free rigidity for higher rank three-manifolds ⋮ Rank-one isometries of CAT(0) cube complexes and their centralisers ⋮ On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points ⋮ A differential geometric characterization of symmetric spaces of higher rank ⋮ 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 ⋮ Homology and homotopy complexity in negative curvature ⋮ Symmetry Diffeomorphism Group of a Manifold of Nonpositive Curvature ⋮ Some remarks on the simplicial volume of nonpositively curved manifolds ⋮ A topological characterization of the Moufang property for compact polygons ⋮ Spherical rank rigidity and Blaschke manifolds ⋮ A rank rigidity result for CAT(0) spaces with one-dimensional Tits boundaries ⋮ Beyond Bowen’s Specification Property ⋮ On the mixing property for hyperbolic systems ⋮ The uniqueness of the maximal measure for geodesic flows on symmetric spaces of higher rank
Cites Work
- Unnamed Item
- Unnamed Item
- On the transitivity of holonomy systems
- Nonpositively curved manifolds of higher rank
- Structure of manifolds of nonpositive curvature. I
- Manifolds of nonpositive curvature
- Structure of manifolds of nonpositive curvature. II
- On topological Tits buildings and their classification
- Buildings of spherical type and finite BN-pairs
- Isometry groups of simply connected manifolds of nonpositive curvature. II
- Visibility manifolds
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- Discrete groups of motions of manifolds of nonpositive curvature
- Strong Rigidity of Locally Symmetric Spaces. (AM-78)
This page was built for publication: Manifolds of nonpositive curvature and their buildings
