13 citations · 59 across the 34 of their papers we have counts for
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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.
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…
Metrics of positive Ricci curvature on bundles
Igor Belegradek, Guofang Wei
We construct new examples of manifolds of positive Ricci curvature which, topologically, are vector bundles over compact manifolds of almost nonnegative Ricci curvature. In particu…
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…