Rigidity of nonpositively curved graph manifolds

DOI10.1007/BF01458013zbMath0591.53038MaRDI QIDQ1074875

Viktor Schroeder

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/164083

zbMATH Keywords

fundamental groupnonpositive sectional curvature3-dimensional graphmanifoldsNP-graphmanifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Totally geodesic hypersurfaces in manifolds of nonpositive curvature ⋮ Boundary manifolds of projective hypersurfaces ⋮ Riemannian manifolds with flat ends ⋮ Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature ⋮ Residually finite rationally p groups ⋮ On the filling invariants at infinity of Hadamard manifolds ⋮ Topological and geometric properties of graph-manifolds ⋮ Analytic manifolds of nonpositive curvature with higher rank subspaces ⋮ Geometric graph manifolds with non‐negative scalar curvature

Cites Work

• A splitting theorem for spaces of nonpositive curvature
• Fundamental groups of manifolds of nonpositive curvature
• Euclidean de Rham factor of a lattice of nonpositive curvature
• Nonpositively curved manifolds of higher rank
• Structure of manifolds of nonpositive curvature. I
• Manifolds of nonpositive curvature
• Structure of manifolds of nonpositive curvature. II
• Manifolds of negative curvature
• Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I, II
• Visibility manifolds
• Compact manifolds of nonpositive curvature
• Rigidity of lattices of non-positive curvature
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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