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Showing math.DGShow all
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math.DG2009★ 1 cited
New Examples of Obstructions to Non-Negative Sectional Curvatures in Cohomogeneity One Manifolds
Chenxu He
K. Grove, L. Verdiani, B. Wilking and W. Ziller gave the first examples of cohomogeneity one manifolds which do not carry invariant metrics with non-negative sectional curvatures.…
math.DG2007★ 7 cited
On 1-Harmonic Functions
Shihshu Walter Wei
Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1$-tension field are given with applications in geometry via transformation group theory. In part…
math.DG2003
Spherical rank rigidity and Blaschke manifolds
Krishnan Shankar, Ralf Spatzier, Burkhard Wilking
Let M be a complete Riemannian manifold whose sectional curvature is bounded above by 1. We say that M has positive spherical rank if along every geodesic one hits a conjugate poin…