A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center

DOI10.1007/BF01475751zbMath0468.57014MaRDI QIDQ1156396

Patrick Eberlein

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/163652

zbMATH Keywords

compact Riemannian manifolds of nonpositive sectional curvature whose fundamental groups have nontrivial center

Mathematics Subject Classification ID

Related Items (6)

Geodesic Rigidity in Compact Nonpositively Curved Manifolds ⋮ Central splitting of manifolds with no conjugate points ⋮ Virtually unipotent curves in some non-NPC graph manifolds ⋮ The higher rank rigidity theorem for manifolds with no focal points ⋮ On nonpositively curved compact Riemannian manifolds with degenerate Ricci tensor ⋮ Spherical means on compact locally symmetric spaces of non-positive curvature

Cites Work

• Isometry groups of simply connected manifolds of nonpositive curvature
• The structure of compact Ricci-flat Riemannian manifolds
• Homogeneity and bounded isometries in manifolds of negative curvature
• On the fundamental group of compact manifolds of non-positive curvature
• Compact manifolds of nonpositive curvature
• On locally symmetric spaces of non-negative curvature and certain other locally homogeneous spaces
• Geodesic Rigidity in Compact Nonpositively Curved Manifolds
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
• Unnamed Item

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