Self-shrinking Platonic solids

We construct new embedded self-shrinkers of genus 3, 5, 7, 11 and 19 using variational methods. Our self-shrinkers resemble doublings of the Platonic solids and were discovered numerically by D. Chopp in 1994.

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Bibliographic Details
Published in:arXiv.org 2016-02
Main Author: Ketover, Daniel
Format: Article
Language:English
Subjects:
Variational methods
Online Access:Get full text
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Description
Summary:We construct new embedded self-shrinkers of genus 3, 5, 7, 11 and 19 using variational methods. Our self-shrinkers resemble doublings of the Platonic solids and were discovered numerically by D. Chopp in 1994.
ISSN:2331-8422