Tuesday, February 7, 2023 2:30 pm
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2:30 pm
EST (GMT -05:00)
Anton Iliashenko, Department of Pure Mathematics, University of Waterloo
"The third Betti number of nearly Kahler 6-manifolds"
On a Riemannian manifold, Weizenbock formulas relate the usual Laplacian and the rough Laplacian along with Riemannian curvature. We consider 6-dimensional nearly Kahler manifolds and look at how the Weizenbock formula for 3-forms simplifies. We will see that a new curvature-type operator shows up which acts on symmetric 2-tensors. Assuming compactness, it will be possible to conclude the vanishing of the 3rd Betti number from a specific bound on this new operator.
MC 5403