On the fundamental group of non-positively curved manifolds

DOI10.1007/BF01450741zbMath0608.53037MaRDI QIDQ1085811

Michael T. Anderson

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164196

zbMATH Keywords

isoperimetric inequalityfundamental groupharmonic mapBusemann functionamenable groupnonpositive sectional curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Amenable groups and stabilizers of measures on the boundary of a Hadamard manifold ⋮ An indiscrete Bieberbach theorem: from amenable \(\mathrm{CAT}(0)\) groups to Tits buildings

Cites Work

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• Structure of manifolds of nonpositive curvature. I
• Compact group actions and the topology of manifolds with non-positive curvature
• The fundamental group and the spectrum of the Laplacian
• Existence of flats in manifolds of nonpositive curvature
• Geodesic flows on negatively curved manifolds. I
• On the fundamental group of compact manifolds of non-positive curvature
• Visibility manifolds
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
• Harmonic Mappings of Riemannian Manifolds

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