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20032024
most citedStructure of fundamental groups of manifolds with Ricci curvature bounded below

52 citations · 144 across the 15 of their papers we have counts for

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Showing 2006Show all

3 papers · 1 filter

math.DG2006★ 2 cited

A duality theorem for Riemannian foliations in nonnegative sectional curvature

Burkhard Wilking

Using a new type of Jacobi field estimate we will prove a duality theorem for singular Riemannian foliations in complete manifolds of nonnegative sectional curvature.

math.DG2006

Manifolds with positive curvature operators are space forms

Christoph Boehm, Burkhard Wilking

We confirm a conjecture of Hamilton: On compact manifolds the normalized Ricci flow evolves metrics with positive curvature operators to limit metrics with constant curvature.

math.DG2006★ 14 cited

Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres

K. Grove, B. Wilking, L. Verdiani +1

In contrast to the homogeneous case, we show that there are compact cohomogeneity one manifolds, that do not support invariant metrics of non-negative sectional curvature. In fact…