Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
From MaRDI portal
Publication:5647590
DOI10.1090/S0002-9904-1971-12747-7zbMath0237.53037MaRDI QIDQ5647590
Joseph A. Wolf, Detlef Gromoll
Publication date: 1971
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Global Riemannian geometry, including pinching (53C20) Fundamental group, presentations, free differential calculus (57M05) Discontinuous groups of transformations (57S30)
Related Items
The double of a hyperbolic manifold and non-positively curved exotic $PL$ structures, Flats in spaces with convex geodesic bicombings, On tori having poles, On the fundamental group of non-positively curved manifolds, On the geodesic flow of tori without conjugate points, Standard pseudo-Hermitian structure on manifolds and Seifert fibration, A gap property for the growth of closed 3-manifold groups., On tori without conjugate points, Existence of flat tori in analytic manifolds of nonpositive curvature, Geodesic Rigidity in Compact Nonpositively Curved Manifolds, Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry, Euclidean planes in three-dimensional manifolds of nonpositive curvature, On the Fundamental Group of a Compact Negatively Curved Manifold, First Pontrjagin form, rigidity and strong rigidity of nonpositively curved Kähler surface of general type, On the Haagerup inequality and groups acting on \(\tilde A_ n\)-buildings, Rigidity and other topological aspects of compact nonpositively curved manifolds, On the Fundamental Groups of Negatively Curved Manifolds with Finite Volume, Solvable Subgroup Theorem for simplicial nonpositive curvature, Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature, Homotopically trivial actions on aspherical spaces and topological rigidity of free actions, On splitting theorems for \(\mathrm{CAT}(0)\) spaces and compact geodesic spaces of non-positive curvature., Convex cocompact actions of relatively hyperbolic groups, An indiscrete Bieberbach theorem: from amenable \(\mathrm{CAT}(0)\) groups to Tits buildings, Virtually unipotent curves in some non-NPC graph manifolds, Homological norms on nonpositively curved manifolds, Manifolds of nonpositive curvature with small volume, Ramified coverings with nonpositive curvature, A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center, Negative curvature and combinatorial group theory, 4-dimensional locally \(\mathrm{CAT}(0)\)-manifolds with no Riemannian smoothings, Some properties of non-positively curved lattices, Abelian subgroups of the fundamental group of a space with no conjugate points, Regular combings, nonpositive curvature and the quasiconvexity of Abelian subgroups, Growth of fundamental groups and isoembolic volume and diameter, Properties of translation numbers in nilpotent groups, Superrigidity for irreducible lattices and geometric splitting, Manifolds without conjugate points, Topological and geometric properties of graph-manifolds, Conformally Flat Manifolds whose Development Maps are not Surjective. I, Hamiltonian dynamics on convex symplectic manifolds, Totally geodesic maps into manifolds with no focal points, Actions of discrete groups on nonpositively curved spaces, A strong rigidity theorem for a certain class of compact complex analytic surfaces, Isometry groups of non-positively curved spaces: structure theory, Isometry groups of non-positively curved spaces: discrete subgroups, Isometry Groups of Manifolds of Negative Curvature, Boundaries of \(\text{CAT}(0)\) groups of the form \(\Gamma=G\times H\), Isometry groups of simply connected manifolds of nonpositive curvature. II, A flat torus theorem for convex co‐compact actions of projective linear groups, Symmetry Diffeomorphism Group of a Manifold of Nonpositive Curvature, Rigidity of lattices of non-positive curvature, A splitting theorem for spaces of nonpositive curvature, Manifolds with non-positive curvature, Rigidity of nonpositively curved graph manifolds
Cites Work
- Unnamed Item
- Homogeneity and bounded isometries in manifolds of negative curvature
- Critical points of the displacement function of an isometry
- Growth of finitely generated solvable groups and curvature of Riemannian manifolds
- On the structure of complete manifolds of nonnegative curvature
- Compact manifolds of nonpositive curvature
- Quelques propriétés globales des espaces de Riemann
- Manifolds of Negative Curvature
- On a Theorem of Preissmann
- On the Fundamental Group of Manifolds of Non-positive Curvature
- Discrete Groups, Symmetric Spaces, and Global Holonomy