Minimal surfaces associated with nonpolynomial contact symmetry flows

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Two infinite sequences of minimal surfaces in space are constructed using symmetry analysis. In particular, explicit formulas are obtained for the self-intersecting minimal surface that fills the trefoil knot.
13 pages, 8 figures

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Differential Geometry, Analysis of PDEs, 49Q05, 53A10, 70S10

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http://salesiana.dossiersoluciones.com/handle/123456789/139357

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603424
 http://arxiv.org/abs/math/0603424
 Fundam. Prikl. Matem. 12 (2006) n.7 `Hamiltonian & Lagrangian systems and Lie algebras,' 93-100.

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arXiv