Negatively Curved Manifolds with Exotic Smooth Structures
From MaRDI portal
Publication:3475951
DOI10.2307/1990898zbMath0698.53027OpenAlexW4234148571MaRDI QIDQ3475951
Francis Thomas Farrell, Lowell Jones
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/1990898
Global Riemannian geometry, including pinching (53C20) Differentiable structures in differential topology (57R55)
Related Items
Complex hyperbolic manifolds and exotic smooth structures ⋮ The double of a hyperbolic manifold and non-positively curved exotic $PL$ structures ⋮ On negatively curved bundles with hyperbolic fibers outside the Igusa stable range ⋮ A note on the characteristic classes of non-positively curved manifolds ⋮ Symmetries of exotic negatively curved manifolds ⋮ On bundles that admit fiberwise hyperbolic dynamics ⋮ The Teichmüller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible ⋮ Rigidity and other topological aspects of compact nonpositively curved manifolds ⋮ Some Open Problems About Aspherical Closed Manifolds ⋮ Riemannian hyperbolization ⋮ Regularity of the Anosov splitting and of horospheric foliations ⋮ Approximate rigidity of the marked length spectrum ⋮ On nondegenerate coupling forms ⋮ Rigidity of geometric structures ⋮ Teichmüller space of negatively curved metrics on complex hyperbolic manifolds is not contractible ⋮ Differentiable rigidity under Ricci curvature lower bound ⋮ Deformations of totally geodesic foliations and minimal surfaces in negatively curved 3-manifolds ⋮ Ricci Flow, Einstein Metrics and Space Forms ⋮ Aspherical manifolds with relatively hyperbolic fundamental groups. ⋮ Exotic Smoothings of Hyperbolic Manifolds which do not Support Pinched Negative Curvature ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ Entropies for Negatively Curved Manifolds ⋮ Differential geometry in India ⋮ Lattice envelopes ⋮ Exotic smooth structures on nonpositively curved symmetric spaces
Cites Work
- Unnamed Item
- Unnamed Item
- A geometric characterization of negatively curved locally symmetric spaces
- The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
- Pinching constants for hyperbolic manifolds
- Manifolds of negative curvature
- A compact Kähler surface of negative curvature not covered by the ball
- On Novikov's conjecture for non-positively curved manifolds. I
- Examples of expanding endomorphisms on exotic tori
- Anosov diffeomorphisms constructed from \(\pi_1\) Diff\((S^n)\)
- Homotopy invariant algebraic structures on topological spaces
- Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
- Homotopy equivalences of almost smooth manifolds
- Groups of homotopy spheres. I
- Compact negatively curved manifolds (of dim [unk 3,4) are topologically rigid]
- Seminar on Differential Geometry. (AM-102)
- Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
- On Homotopic Harmonic Maps
- Manifolds of Negative Curvature
- Residually finite groups
- Harmonic Mappings of Riemannian Manifolds
