Anton Iliashenko, Department of Pure Mathematics, University of Waterloo
"Riemannian submersions and the O’Neill tensors (Part I)"
This talk will be one of the two talks on Riemannian submersions. Both of them are based on Chapter 9 from the “Einstein Manifolds” book by Arthur L. Besse. First, we will consider things locally by introducing the O’Neill’s tensors A and T. We will use them to calculate the curvature of the total space in terms of the curvatures of the base and the fibers. After that, we will consider the global theory under some assumptions about the total space.
This seminar will be held jointly online and in person: