Mathematical Physics Seminar
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.
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Mathematical Physics Seminar Series
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