M. Davis

  1. 4-dimensional locally CAT(0)-manifolds with no Riemannian smoothings.

    Authors: T. Januszkiewicz, J.-F. Lafont, M. Davis
    Subjects: Metric Geometry
    Abstract

    We construct examples of smooth 4-dimensional manifolds M supporting a
    locally CAT(0)-metric, whose universal cover X satisfy Hruska's isolated flats
    condition, and contain 2-dimensional flats F with the property that the
    boundary at infinity of F defines a nontrivial knot in the boundary at infinity
    of X. As a consequence, we obtain that the fundamental group of M cannot be
    isomorphic to the fundamental group of any Riemannian manifold of nonpositive
    sectional curvature.

Syndicate content