4 papers
math.DG2024
Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature
Albert Chau, Adam Martens
We prove long-time existence of the Ricci flow starting from complete manifolds with bounded curvature and scale-invariant integral curvature sufficiently pinched with respect to t…
math.DG2023
Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows
Albert Chau, Adam Martens
Lai (2021) used singular Ricci flows, introduced by Kleiner and Lott (2017), to construct a nonnegative Ricci curvature Ricci flow emerging from an arbitrary 3D complete non…
math.DG2021
On the Bartnik mass of non-negatively curved CMC spheres
Albert Chau, Adam Martens
Let be a smooth Riemannian metric on and a constant. We establish an upper bound for the corresponding Bartnik mass ass…
math.DG2020
Exterior Schwarzschild initial data for degenerate apparent horizons
Albert Chau, Adam Martens
In this note we show that if is a smooth Riemannian metric on such that the first eigenvalue of the operator satisfies then $(\math…