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High Codimension Mean Curvature Flow in the Complex Projective Space
We study the mean curvature flow of smooth, compact submanifolds of high codimension with quadratic pinching in $\mathbb{C}P^k$. We establish a codimension estimate, where in regions of high curvature, the submanifold becomes approximately codimension one, in a quantifiable way. Under a cylindrical
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