Minimal surfaces associated with nonpolynomial contact symmetries
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 93-100
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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.
@article{FPM_2006_12_7_a6,
author = {A. V. Kiselev},
title = {Minimal surfaces associated with nonpolynomial contact symmetries},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {93--100},
publisher = {mathdoc},
volume = {12},
number = {7},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a6/}
}
A. V. Kiselev. Minimal surfaces associated with nonpolynomial contact symmetries. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 93-100. http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a6/