Fundamental groups of manifolds of nonpositive curvature

DOI10.4310/jdg/1214440722zbMath0701.53070OpenAlexW1526238010WikidataQ115185015 ScholiaQ115185015MaRDI QIDQ914168

Werner Ballmann, Patrick Eberlein

Publication date: 1987

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214440722

zbMATH Keywords

fundamental groupranklocally symmetric spacesrigidity theoremsHadamard manifoldsnoncompact type

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (19)

List of problems on discrete subgroups of Lie groups and their computational aspects ⋮ Eigenvalues of the drifting Laplacian on complete noncompact Riemannian manifolds ⋮ Existence of flat tori in analytic manifolds of nonpositive curvature ⋮ Rigidity of Einstein manifolds of nonpositive curvature ⋮ Bounded harmonic functions on nonamenable covers of compact manifolds ⋮ Equivariant discretizations of diffusions and harmonic functions of bounded growth ⋮ Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature ⋮ ESTIMATES FOR THE EIGENVALUES OF THE DRIFTING LAPLACIAN ON SOME COMPLETE RICCI SOLITONS ⋮ A higher-rank rigidity theorem for convex real projective manifolds ⋮ The stretch of a foliation and geometric superrigidity ⋮ The higher rank rigidity theorem for manifolds with no focal points ⋮ Teichmüller modular groups and arithmetic groups ⋮ Algebraic ranks of the fundamental groups of high dimensional graph manifolds ⋮ Algebraic ranks of CAT(0) groups. ⋮ Special geometry and the swampland ⋮ On the geometric rank of homogeneous spaces of nonpositive curvature ⋮ Entropy rigidity of symmetric spaces without focal points ⋮ Rank of Teichmüller modular groups ⋮ Rigidity of nonpositively curved graph manifolds

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