A geometric characterization of negatively curved locally symmetric spaces

DOI10.4310/jdg/1214446998zbMath0733.53018OpenAlexW1492194752WikidataQ115181537 ScholiaQ115181537MaRDI QIDQ809372

Ursula Hamenstädt

Publication date: 1991

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214446998

zbMATH Keywords

sectional curvaturegeodesic flowrigidity resultlocally symmetric1-quasiconformal structureboundary sphereCarnot-Caratheodory metricrank 1

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (14)

Manifolds with many hyperbolic planes ⋮ Positively curved manifolds with large spherical rank ⋮ Invariant two-forms for geodesic flows ⋮ Rigidity for convex-cocompact actions on rank-one symmetric spaces ⋮ Three-manifolds with many flat planes ⋮ Hyperbolic rank rigidity for manifolds of -pinched negative curvature ⋮ Metric Möbius geometry and a characterization of spheres ⋮ Negatively \(1\over 4\)-pinched Riemannian metric on a compact Kähler manifold ⋮ Three-manifolds of constant vector curvature one ⋮ Negatively Curved Manifolds with Exotic Smooth Structures ⋮ Toward a quasi-Möbius characterization of invertible homogeneous metric spaces ⋮ Curvature free rigidity for higher rank three-manifolds ⋮ Spherical rank rigidity and Blaschke manifolds ⋮ Open problems and questions about geodesics

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