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math.DG2012★ 26 cited
Complete self-shrinkers confined into some regions of the space
Stefano Pigola, Michele Rimoldi
We study geometric properties of complete non-compact bounded self-shrinkers and obtain natural restrictions that force these hypersurfaces to be compact. Furthermore, we observe t…
math.DG2012★ 19 cited
On a classification theorem for self-shrinkers
Michele Rimoldi
We generalize a classification result for self-shrinkers of the mean curvature flow with nonnegative mean curvature, which was obtained by T. Colding and W. Minicozzi, replacing th…