52 citations · 144 across the 15 of their papers we have counts for
19 papers
Smoothness of submetries
Alexander Lytchak, Burkhard Wilking
We prove that a Riemannian submersion between smooth, compact, non-negatively curved Riemannian manifolds has to be smooth, resolving a conjecture by Berestovskii--Guijarro. We sho…
Representations of compact simple Lie groups whose orbit space has non-empty boundary
Claudio Gorodski, Andreas Kollross, Burkhard Wilking
We provide detailed calculations for the classification of representations of compact simple Lie groups with non-empty boundary in the orbit space, first announced in a previous pa…
Positive curvature, torus symmetry, and matroids
Lee Kennard, Michael Wiemeler, Burkhard Wilking
We identify a link between regular matroids and torus representations all of whose isotropy groups have an odd number of components. Applying Seymour's 1980 classification of the f…
Actions on positively curved manifolds and boundary in the orbit space
Claudio Gorodski, Andreas Kollross, Burkhard Wilking
We study isometric actions of compact Lie groups on complete orientable positively curved -manifolds whose orbit spaces have non-empty boundary in the sense of Alexandrov geomet…
Splitting of torus representations and applications in the Grove symmetry program
Lee Kennard, Michael Wiemeler, Burkhard Wilking
A 1930s conjecture of Hopf states that an even-dimensional compact Riemannian manifold with positive sectional curvature has positive Euler characteristic. We prove this conjecture…
The Ricci flow under almost non-negative curvature conditions
Richard H. Bamler, Esther Cabezas-Rivas, Burkhard Wilking
We generalize most of the known Ricci flow invariant non-negative curvature conditions to less restrictive negative bounds that remain sufficiently controlled for a short time. As…