3 papers
math.DG2021
Area and boundary length of surfaces diffeomorphic to annuli
Tsz-Kiu Aaron Chow
In this paper, we give a proof to a statement in Perelman's paper for finite extinction time of Ricci flow. Our proof draws on different techniques from the one given in Morgan-Tia…
math.DG2020
Ricci Flow on Manifolds with Boundary with Arbitrary Initial Metric
Tsz-Kiu Aaron Chow
In this paper, we study the Ricci flow on manifolds with boundary. In the first part of the paper, we prove short-time existence and uniqueness of the solution, in which the bounda…
math.DG2020
Positivity of Curvature on Manifolds with Boundary
Tsz-Kiu Aaron Chow
Consider a compact manifold with smooth boundary . Suppose that and are two Riemannian metrics on . We construct a family of metrics on which…