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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…
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…
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…
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…
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…