A complete ancient mean curvature flow solution whose Gauss map stays in an open hemisphere with sublinear angular growth must be a flat affine subspace.
N., Scheuer, J., On the classification of ancien t solutions to curvature flows on the sphere, Ann
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A rigidity theorem of ancient solutions to the mean curvature flow in codimension one
A complete ancient mean curvature flow solution whose Gauss map stays in an open hemisphere with sublinear angular growth must be a flat affine subspace.