Tits geometry of cocompact real-analytic Hadamard manifolds of dimension 4

DOI10.1016/S0926-2245(99)00025-XzbMath0951.53022OpenAlexW2098142010WikidataQ115337414 ScholiaQ115337414MaRDI QIDQ1807642

Christoph Hummel, Viktor Schroeder

Publication date: 8 February 2000

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(99)00025-x

zbMATH Keywords

homogeneous spaceHadamard manifoldmetric graphsnonpositive sectional curvatureTits geometry

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (3)

The Tits boundary of a $\text {CAT}(0)$ 2-complex ⋮ Tits alternative for closed real analytic 4-manifolds of nonpositive curvature. ⋮ An estimate for the volume entropy of nonpositively curved graph-manifolds

Cites Work

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• On the geometric rank of homogeneous spaces of nonpositive curvature
• Structure of manifolds of nonpositive curvature. I
• Manifolds of nonpositive curvature
• Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature
• Tits geometry associated with 4-dimensional closed real-analytic manifolds of nonpositive curvature
• Visibility and Rank One in Homogeneous Spaces of K 0
• Existence of immersed tori in manifolds of nonpositive curvature.
• Existence of flat tori in analytic manifolds of nonpositive curvature
• Spaces of nonpositive curvature

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