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Caltech

Mathematical Physics Seminar

Wednesday, November 18, 2015
12:00pm to 1:00pm
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Compact manifolds with integral bounds on the negative part of Ricci curvature and the Kato class
Christian Rose, Professor, Mathematics, Technische Universitat Chemnitz & UCLA,

Bochner's theorem states that a compact manifold with non-negative Ricci curvature and positive somewhere admits a trivial first cohomology group. Starting from a generalization by Elworthy and Rosenberg we show using Kato conditions for certain Schrödinger operators that L^p criteria for the part of curvature below a certain depth is sufficient that Bochner still holds.

For more information, please contact Rupert Frank by email at [email protected] or visit http://www.math.caltech.edu/~rlfrank/seminar.html.