3 papers
math.DG2022
Preservation of product structures under the Ricci flow with instantaneous curvature bounds
Mary Cook
In this note, we prove that there exists a constant , depending only on the dimension, such that if a complete solution to the Ricci flow splits as a product at time and…
math.ST2020
Fisher-Rao distance on the covariance cone
Joseph Wells, Mary Cook, Karleigh Pine +1
The Fisher-Rao geodesic distance on the statistical manifold consisting of zero-mean p-dimensional multivariate Gaussians appears without proof in several places (such as Steven Sm…
math.DG2019
The full holonomy group under the Ricci flow
Mary Cook, Brett Kotschwar
We give a short, direct proof that the full holonomy group of a solution to the Ricci flow is invariant up to isomorphism using the invariance of the reduced holonomy under the flo…