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We flow a hypersurface in Euclidean space by mean curvature flow with aNeumann boundary condition, where the boundary manifold is any torus ofrevolution. If we impose the conditions that the initial manifold is compatibleand does not contain the rotational vector field in its tangent space, thenmean curvature flow exists for all time and converges to a flat cross-sectionas $t \rightarrow \infty$.

The constant angle problem for mean curvature flow inside rotational tori