The Preservation of Product Structures under the Ricci Flow

Mary Cook, University of Rochester

Friday, November 19th, 2021
1:00 PM - 2:00 PM
Hylan 1106A (joint Analysis and Geometry seminar)

The Ricci flow is a geometric evolution equation which deforms a Riemannian metric by a multiple of its Ricci curvature. In this talk, we show that if \(g(t)\) is a solution to the Ricci flow satisfying a certain non-uniform curvature bound and \(g(0)\) splits as a product, then the solution splits as a product for all time. The problem is framed as one of uniqueness for a related system to which we apply a maximum principle similar to those used by Huang-Tam and Liu-Szekelyhidi.

Event contact: dan dot geba at rochester dot edu