Geometry and Topology Seminar
Linde Hall 187
On the topology of the manifolds with positive intermediate curvature
Xuan Yao,
Department of Mathematics,
Cornell University,
We formulate a conjecture relating the topology of a manifold's universal cover with the existence of metrics with positive m-intermediate curvature. We prove the result for manifolds of dimension n∈{3,4,5} and for most choices of m when n=6. As a corollary, we show that a closed, aspherical 6-manifold cannot admit a metric with positive 4-intermediate curvature.
For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit https://caltech.zoom.us/j/89994856119.
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Geometry and Topology Seminar Series
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