3 papers
math.DG2025
Curvature estimates for steady and expanding solitons in higher dimensions
Pak-Yeung Chan, Ming Hsiao
In this paper, we demonstrate certain curvature estimates on complete non-compact steady and expanding gradient Ricci solitons in higher dimensions. In the expanding case, we prove…
math.DG2025
Rotationally symmetric Ricci Flow on
Ming Hsiao
We establish a short-time existence theory for complete Ricci flows under scaling-invariant curvature bounds, starting from rotationally symmetric metrics on tha…
math.DG2025
Gap Theorem on locally conformally flat manifold
Ming Hsiao, Man-Chun Lee
In this work, we study a gap phenomenon in locally conformally flat Riemannian manifolds with non-negative Ricci curvature. We construct complete solutions to the Yamabe flow that…