Mean curvature self-shrinkers of high genus: Non-compact examples

We give the first rigorous construction of complete, embedded self-shrinking hypersurfaces under mean curvature flow, since Angenent's torus in 1989. The surfaces exist for any sufficiently large prescribed genus \(g\), and are non-compact with one end. Each has \(4g+4\) symmetries and comes fr...

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Veröffentlicht in:	arXiv.org 2014-11
Hauptverfasser:	Kapouleas, Nikolaos, Kleene, Stephen J, Niels Martin Møller
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Curvature Hyperspaces Mathematical analysis Mathematics - Differential Geometry Minimal surfaces Operators (mathematics) Stability Symmetry Toruses
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