Classical mechanics of minimal tori in S³

2013/07/08 by Joakim Arnlind, Arnlind, Joakim, Jaigyoung Choe +3
Mathematics · #Geometric and Algebraic Topology #Algebraic and Geometric Analysis #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1307.2255

Abstract

We formulate a class of minimal tori in S³ in terms of classical mechanics, reveal a curious property of the Clifford torus, and note that the question of periodicity can be made more explicit in a simple way.

Citations

• Embedded minimal tori in S3 and the Lawson conjecture
• The unknottedness of minimal embeddings

Related

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• Minimal Surfaces in S³ with Constant Contact Angle
• Embedded minimal tori in S3 and the Lawson conjecture
• New minimal surfaces in S³ desingularizing the Clifford tori
• Some minimal submanifolds generalizing the Clifford torus