English

Minimal surfaces associated with nonpolynomial contact symmetry flows

Differential Geometry 2007-10-06 v3 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.math/0603424,
  title  = {Minimal surfaces associated with nonpolynomial contact symmetry flows},
  author = {Arthemy V. Kiselev},
  journal= {arXiv preprint arXiv:math/0603424},
  year   = {2007}
}

Comments

13 pages, 8 figures

R2 v1 2026-07-22T17:33:02.303Z