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20212026
most citedClosed mean curvature flows with asymptotically conical singularities

1 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.DG2026

Almost isoclinic Lagrangian submanifolds

Tang-Kai Lee, Mu-Tao Wang

We introduce the almost isoclinic region in the oriented Lagrangian Grassmannian of , an intrinsic higher-dimensional analog of a natural convex regi…

math.DG2026

Closed mean curvature flows with prescribed tangent flows

Jingwen Chen, Tang-Kai Lee, Ao Sun +1

Given an embedded shrinker in that is either closed, asymptotically conical, or a Cartesian product of such a shrinker with , we construct a cl…

math.DG2024★ 1 cited

Closed mean curvature flows with asymptotically conical singularities

Tang-Kai Lee, Xinrui Zhao

In this paper, we prove that for any asymptotically conical self-shrinker, there exists an embedded closed hypersurface such that the mean curvature flow starting from it develops…

math.DG2023

Uniqueness of conical singularities for mean curvature flows

Tang-Kai Lee, Xinrui Zhao

In this paper, we prove the uniqueness of asymptotically conical tangent flows in all codimensions. This is based on an early work of Chodosh-Schulze, who proved the uniqueness in…

math.DG2022★ 1 cited

Parabolic frequency for the mean curvature flow

Julius Baldauf, Tang-Kai Lee

This paper defines a parabolic frequency for solutions of the heat equation along homothetically shrinking mean curvature flows and proves its monotonicity along such flows. As a c…

math.DG2021

Compactness and rigidity of self-shrinking surfaces

Tang-Kai Lee

The entropy functional introduced by Colding and Minicozzi plays a fundamental role in the analysis of mean curvature flow. However, unlike the hypersurface case, relatively little…

math.DG2021

Convexity of -hypersurfaces

Tang-Kai Lee

We prove that any -dimensional closed mean convex -hypersurface is convex if This generalizes Guang's work on -dimensional strictly mean convex -hypersurfaces…