A. Vogiatzi

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20232026

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math.DG2023

High Codimension Mean Curvature Flow in the Complex Projective Space

Artemis A. Vogiatzi

We study the mean curvature flow of smooth, compact submanifolds of high codimension with quadratic pinching in $C P^{k}$ . We establish a codimension estimate, where in regio…

math.DG2023

Singularity Models for High Codimension Mean Curvature Flow in Riemannian Manifolds

Artemis A. Vogiatzi, Huy T. Nguyen

We study the mean curvature flow of smooth $n$ -dimensional compact submanifolds with quadratic pinching in a Riemannian manifold $N^{n + m}$ . Our main focus is on the case…