3 citations · 3 across the 3 of their papers we have counts for
Showing 2001Show all
3 papers · 1 filter
math.DG2001
Pinching surface groups in complex hyperbolic plane
Igor Belegradek
We construct first examples of discrete geometrically finite subgroups of PU(2,1) which contain parabolic elements, and are isomorphic to surface groups.
math.DG2001
Vector bundles with infinitely many souls
Igor Belegradek
We construct the first examples of manifolds, the simplest one being the product of S^3, S^4, and R^5, which admit infinitely many complete nonnegatively curved metrics with pairwi…
math.DG2001
Metrics of positive Ricci curvature on vector bundles over nilmanifolds
Igor Belegradek, Guofang Wei
We construct metrics of positive Ricci curvature on some vector bundles over tori (or more generally, over nilmanifolds). This gives rise to the first examples of manifolds with po…