A BOUNDARY VERSION OF CARTAN–HADAMARD AND APPLICATIONS TO RIGIDITY

DOI10.1142/S1793525309000175zbMath1190.53031OpenAlexW2084910283WikidataQ125027791 ScholiaQ125027791MaRDI QIDQ5187848

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Publication date: 9 March 2010

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793525309000175

zbMATH Keywords

rigidityCartan-Hadamard theoremnon-positive curvaturemanifolds with boundary

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Global Riemannian geometry, including pinching (53C20) Stratified sets (58A35) Stratifications in topological manifolds (57N80)

Related Items (3)

Quasisymmetrically co-Hopfian Menger curves and Sierpiński spaces ⋮ Rigidity of hyperbolic P-manifolds: a survey ⋮ Hyperbolic groups with boundary an n-dimensional Sierpinski space

Cites Work

• Diagram rigidity for geometric amalgamations of free groups.
• Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II
• Rigidity result for certain three-dimensional singular spaces and their fundamental groups
• SINGULARITIES OF FUNCTIONS ON BOUNDARIES, CORNERS, ETC.
• Morse Theory. (AM-51)
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Un théorème de Zariski du type de Lefschetz
• STRONG JORDAN SEPARATION AND APPLICATIONS TO RIGIDITY
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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