13 citations · 59 across the 34 of their papers we have counts for
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An assortment of negatively curved ends
Igor Belegradek
Motivated by a recent groundbreaking work of Ontaneda, we describe a sizable class of closed manifolds such that the product of each manifold in the class with the real line admits…
Non-aspherical ends and nonpositive curvature
Igor Belegradek, T. Tam Nguyen Phan
We obtain restrictions on the topology of a closed connected manifold B that bounds a (possibly noncompact) manifold whose interior V admits a complete Riemannian metric of nonposi…
Open aspherical manifolds not covered by the Euclidean space
Igor Belegradek
We show that any open aspherical manifold of dimension n>3 is tangentially homotopy equivalent to an n-manifold whose universal cover is not homeomorphic to the Euclidean space.
Obstructions to nonpositive curvature for open manifolds
Igor Belegradek
We study algebraic conditions on a group G under which every properly discontinuous, isometric G-action on a Hadamard manifold has a G-invariant Busemann function. For such G we pr…