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Showing 2011 · math.DGShow all
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math.DG2011★ 1 cited
Spheres of small diameter with long sweep-outs
Yevgeny Liokumovich
We prove the absence of a universal diameter bound on lengths of curves in a sweep-out of a Riemannian 2-sphere. If such bound existed it would yield a simple proof of existence of…
math.DG2011
Examples of Einstein manifolds in odd dimensions
Dezhong Chen
We construct Einstein metrics of non-positive scalar curvature on certain solid torus bundles over a Fano Kahler-Einstein manifold. We show, among other things, that the negative E…