3 citations · 3 across the 3 of their papers we have counts for
7 papers
Ricci flow smoothing for locally collapsing manifolds
Shaosai Huang, Bing Wang
We show that for certain locally collapsing initial data with Ricci curvature bounded below, one could start the Ricci flow for a definite period of time. This provides a Ricci flo…
Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing
Shaosai Huang, Xiaochun Rong, Bing Wang
We survey some recent developments in the study of collapsing Riemannian manifolds with Ricci curvature bounded below, especially the locally bounded Ricci covering geometry and th…
Small fiberwise oscillation of the eigenfunctions of collapsing Einstein manifolds
Shaosai Huang, Selin Taskent
By Cheeger-Colding's almost splitting theorem, if a domain in a Ricci flat manifold is pointed-Gromov-Hausdorff close to a lower dimensional Euclidean domain, then there is a harmo…
On the long-time behavior of immortal Ricci flows
Shaosai Huang
For an immortal Ricci flow on an -dimensional closed manifold, we show the following convergence results: (1) if the curvature and diameter are uniformly bounded, the…
Notes on Ricci flows with collapsing initial data (I): Distance distortion
Shaosai Huang
In this note, we prove a uniform distance distortion estimate for Ricci flows with uniformly bounded scalar curvature, independent of the lower bound of the initial -entropy. Ou…
On the regular-convexity of Ricci shrinker limit spaces
Shaosai Huang, Yu Li, Bing Wang
In this paper, we study the structure of the pointed-Gromov-Hausdorff limits of sequences of Ricci shrinkers. We define a regular-singular decomposition following the work of Cheeg…