On spiral minimal surfaces

Authors

Varlamov, V. I.

Description

A class of spiral minimal surfaces in E^3 is constructed using a symmetry reduction. The new surfaces are invariant with respect to the composition of rotation and dilatation. The solutions are obtained in closed form %through the Legendre transformation and their asymptotic behaviour is described.
19 pages, 3 figures

Keywords

Differential Geometry, Classical Analysis and ODEs, 35C20, 49Q05, 53A10, 85A15

URI

http://salesiana.dossiersoluciones.com/handle/123456789/154850

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602435
http://arxiv.org/abs/math/0602435
"The spiral minimal surfaces and their Legendre and Weierstrass representations," Differential Geometry and its Applications (2008) Vol.26 n.1, pp.23-41.
doi:10.1016/j.difgeo.2007.11.039

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