A survey of closed self-shrinkers with symmetry
classification
🧮 math.DG
keywords
closedself-shrinkerssymmetryexistencesurveybi-rotationalclassicalconstructions
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In this paper, we survey known results on closed self-shrinkers for mean curvature flow and discuss techniques used in recent constructions of closed self-shrinkers with classical rotational symmetry. We also propose new existence and uniqueness problems for closed self-shrinkers with bi-rotational symmetry and provide numerical evidence for the existence of new examples.
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