Showing 2000Show all
3 papers · 1 filter
math.DG2000
On Mostow rigidity for variable negative curvature
Igor Belegradek
We prove a finiteness theorem for the class of complete finite volume Riemannian manifolds with pinched negative sectional curvature, fixed fundamental group, and of dimension …
math.DG2000
Finiteness theorems for nonnegatively curved vector bundles
Igor Belegradek, Vitali Kapovitch
We prove several finiteness theorems for the normal bundles to souls in nonnegatively curved manifolds. More generally, we obtain finiteness results for open Riemannian manifolds w…
math.DG2000
Topological obstructions to nonnegative curvature
Igor Belegradek, Vitali Kapovitch
We find new obstructions to the existence of complete Riemannian metric of nonnegative sectional curvature on manifolds with infinite fundamental groups. In particular, we construc…