Differential Geometry Working Seminar

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

"Betti numbers of nearly G2 manifolds"

On a Riemannian manifold there is a Weitzenböck identity which is a relationship between the Laplacian, the Bochner Laplacian and the curvature. We will consider this formula in the nearly G_2 setting and see how bounds on the Weyl Tensor or Sectional Curvature can give us certain information about the Betti numbers.

MC 5403