Wenkui Du

activity

20202026

most citedClassification of bubble-sheet ovals in

R^{4}

5 citations · 9 across the 10 of their papers we have counts for

collaborators

10 papers

math.DG2026

Uniqueness of positively curved ancient Ricci flows on surfaces with boundary

Kyeongho Bang, Eric Chen, Wenkui Du

We establish the existence and uniqueness modulo time-independent diffeomorphisms of the positively curved ancient Ricci flow $(M^{2}, \partial M^{2}, g (t))$ on a two-dimensional surfa…

math.DG2026

Unique asymptotics of $S O (k) \times S O (n - k + 1)$ symmetric ancient ovals of Ricci flow

Panagiota Daskalopoulos, Wenkui Du, Natasa Sesum +1

We obtain the unique asymptotics of $S O (k) \times S O (n - k + 1)$ -invariant, compact, simply-connected, {factorwisely non-self-similar} $n$ -dimensional $κ$ -solutions of the Ricci flow $(…

math.DG2025

Rigidity of ancient ovals in higher dimensional mean curvature flow

Beomjun Choi, Wenkui Du, Jingze Zhu

In this paper, we consider the classification of compact ancient noncollapsed mean curvature flows of hypersurfaces in arbitrary dimensions. More precisely, we study $k$ -ovals in $…

math.DG2022

Spectral quantization for ancient asymptotically cylindrical flows

Wenkui Du, Jingze Zhu

We study ancient mean curvature flows in $R^{n + 1}$ whose tangent flow at $- \infty$ is a shrinking cylinder $R^{k} \times S^{n - k} (2 (n - k) ∣ t ∣)$ , where $1\leq k…

math.DG2022★ 5 cited

Classification of bubble-sheet ovals in $R^{4}$

Beomjun Choi, Panagiota Daskalopoulos, Wenkui Du +2

In this paper, we prove that any bubble-sheet oval for the mean curvature flow in $R^{4}$ , up to scaling and rigid motion, either is the $O (2) \times O (2)$ -…

math.DG2022

A nonexistence result for rotating mean curvature flows in $R^{4}$

Wenkui Du, Robert Haslhofer

Some worrisome potential singularity models for the mean curvature flow are rotating ancient flows, i.e. ancient flows whose tangent flow at $- \infty$ is a cylinder $\mathbb{R}^k\t…

math.DG2021

Hearing the shape of ancient noncollapsed flows in $R^{4}$

Wenkui Du, Robert Haslhofer

We consider ancient noncollapsed mean curvature flows in $R^{4}$ whose tangent flow at $- \infty$ is a bubble-sheet. We carry out a fine spectral analysis for the bubble-shee…

math.DG2021

The blowdown of ancient noncollapsed mean curvature flows

Wenkui Du, Robert Haslhofer

In this paper, we consider ancient noncollapsed mean curvature flows $M_{t} = \partial K_{t} \subset R^{n + 1}$ that do not split off a line. It follows from general theory that th…

math.DG2021★ 2 cited

On uniqueness and nonuniqueness of ancient ovals

Wenkui Du, Robert Haslhofer

In this paper, we prove that any nontrivial $SO (k) \times SO (n + 1 - k)$ -symmetric ancient compact noncollapsed solution of the mean curvature flow agrees up to scali…

math.DG2020★ 2 cited

Bounded Diameter Under Mean Curvature Flow

Wenkui Du

We prove that for the mean curvature flow of closed embedded hypersurfaces, the intrinsic diameter stays uniformly bounded as the flow approaches the first singular time, provided…

Uniqueness of positively curved ancient Ricci flows on surfaces with boundary

Unique asymptotics of SO(k)×SO(n−k+1) symmetric ancient ovals of Ricci flow

Rigidity of ancient ovals in higher dimensional mean curvature flow

Spectral quantization for ancient asymptotically cylindrical flows

Classification of bubble-sheet ovals in R4

A nonexistence result for rotating mean curvature flows in R4

Hearing the shape of ancient noncollapsed flows in R4

The blowdown of ancient noncollapsed mean curvature flows

On uniqueness and nonuniqueness of ancient ovals

Bounded Diameter Under Mean Curvature Flow

Unique asymptotics of $S O (k) \times S O (n - k + 1)$ symmetric ancient ovals of Ricci flow

Classification of bubble-sheet ovals in $R^{4}$

A nonexistence result for rotating mean curvature flows in $R^{4}$

Hearing the shape of ancient noncollapsed flows in $R^{4}$