18 citations · 50 across the 28 of their papers we have counts for
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Geometrically formal homogeneous metrics of positive curvature
Manuel Amann, Wolfgang Ziller
A Riemannian manifold is called geometrically formal if the wedge product of harmonic forms is again harmonic, which implies in the compact case that the manifold is topologically…
Special Holonomy on Special Spaces
Manuel Amann
We characterise simply-connected biquotients which potentially admit metrics of holonomy G_2. We prove that there are at most three real homotopy types of rationally elliptic such…
Positive curvature and rational ellipticity
Manuel Amann, Lee Kennard
Simply-connected manifolds of positive sectional curvature are speculated to have a rigid topological structure. In particular, they are conjectured to be rationally elliptic,…
On a generalized conjecture of Hopf with symmetry
Manuel Amann, Lee Kennard
A famous conjecture of Hopf is that the product of the two-dimensional sphere with itself does not admit a Riemannian metric with positive sectional curvature. More generally, one…