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Minimal surfaces associated with nonpolynomial contact symmetry flows

Arthemy V. Kiselev
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Abstract

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.

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Arthemy V. Kiselev. 2006-07-08. Minimal surfaces associated with nonpolynomial contact symmetry flows. https://arxiv.org/abs/math/0603424

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