Wenshuai Jiang

collaborators

3 papers

math.DG2025

The Bounded Diameter Conjecture and Sharp Geometric Estimates for Mean Curvature Flow

Yiqi Huang, Wenshuai Jiang

We show that the intrinsic diameter of mean curvature flow in $R^{3}$ is uniformly bounded as one approaches the first singular time $T$ . This confirms the bounded diameter…

math.DG2024

The Nodal Sets of Solutions to Parabolic Equations

Yiqi Huang, Wenshuai Jiang

In this paper, we study the parabolic equations $\partial_{t} u = \partial_{j} (a^{ij} (x, t) \partial_{i} u) + b^{j} (x, t) \partial_{j} u + c (x, t) u$ in a domain of $R^{n}$ under the con…

math.DG2024

Finite Diffeomorphism Theorem for manifolds with lower Ricci curvature and bounded energy

Wenshuai Jiang, Guofang Wei

In this paper we prove that the space $\cM(n,\rv,D,Î):=\{(M^n,g) \text{ closed }: ~~\Ric\ge -(n-1),~\Vol(M)\ge \rv>0, \diam(M)\le D \text{ and } \int_{M}|\Rm|^{n/2}\le Î\}$ has a…