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math.DG2026
Classification of quadratically pinched translators in higher codimension
Debora Impera, Michele Rimoldi, Francesco Ruatta
We study complete translating solitons for the mean curvature flow in arbitrary codimension under quadratic pinching of the second fundamental form. We prove a codimension reductio…
math.DG2026
Classification of quadratically pinched self-shrinkers in higher codimension
Debora Impera, Michele Rimoldi, Francesco Ruatta
We classify properly immersed self-shrinkers of the mean curvature flow in arbitrary codimension under a quadratic pinching condition of Andrews-Baker type on the second fundamenta…