Actions of discrete groups on nonpositively curved spaces

DOI10.1007/BF01445254zbMath0856.20024OpenAlexW2027034711MaRDI QIDQ1817309

Bernhard Leeb, Michael Kapovich

Publication date: 12 February 1997

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

Full work available at URL: https://eudml.org/doc/165457

zbMATH Keywords

mapping class groupsactionsgroups of isometriesclosed manifoldsnonpositively curved metrics

Mathematics Subject Classification ID

Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Fundamental group, presentations, free differential calculus (57M05) Synthetic differential geometry (51K10)

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Cites Work

• Abelian and solvable subgroups of the mapping class group
• Manifolds of nonpositive curvature
• On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds
• 3-manifolds with(out) metrics of nonpositive curvature
• A certain type of irregular algebraic surfaces
• Compact manifolds of nonpositive curvature
• BOUNDED COCYCLES AND COMBINGS OF GROUPS
• The Geometries of 3-Manifolds
• The diffeomorphism group of a compact Riemann surface
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature