6 citations · 8 across the 3 of their papers we have counts for
4 papers
Nonnegative curvature, elliptic genus and unbounded Pontryagin numbers
Martin Herrmann, Nicolas Weisskopf
We discuss the cobordism type of spin manifolds with nonnegative sectional curvature. We show that in each dimension , there are infinitely many cobordism types of simp…
Homogeneous spaces, curvature and cohomology
Martin Herrmann
We give new counterexamples to a question of Karsten Grove, whether there are only finitely many rational homotopy types among simply connected manifolds satisfying the assumptions…
Classification and Characterization of rationally elliptic manifolds in low dimensions
Martin Herrmann
We give a characterization of closed, simply connected, rationally elliptic 6-manifolds in terms of their rational cohomology rings and a partial classification of their real cohom…
Manifolds with almost nonnegative curvature operator and principal bundles
Martin Herrmann, Dennis Sebastian, Wilderich Tuschmann
We study manifolds with almost nonnegative curvature operator (ANCO) and provide first examples of closed simply connected ANCO mannifolds that do not admit nonnegative curvature o…