13 citations · 20 across the 3 of their papers we have counts for
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Evolving Pinched Submanifolds of the Sphere by Mean Curvature Flow
Charles Baker, Huy The Nguyen
In this paper, we prove convergence of the high codimension mean curvature flow in the sphere to either a round point or a totally geodesic sphere assuming a pinching condition bet…
Surfaces of Co-dimension Two Pinched by Normal Curvature
Charles Baker, Huy The Nguyen
We prove that codimension two surfaces satisfying a nonlinear curvature condition depending on normal curvature are smoothly deformed by mean curvature flow to round points.
A partial classification of type I singularities of the mean curvature flow in high codimension
Charles Baker
The purpose of this article is to examine the possible shapes of type I singularities that form in the mean curvature flow of submanifolds of arbitrary codimension, assuming that t…
The mean curvature flow of submanifolds of high codimension
Charles Baker
The study of the mean curvature flow from the perspective of partial differential equations began with Gerhard Huisken's pioneering work in 1984. Since that time, the mean curvatur…