On spiral minimal surfaces

Details On spiral minimal surfaces On spiral minimal surfaces

2006-02-20

arxiv.org/abs/math/0602435v1

"The spiral minimal surfaces and their Legendre and Weierstrass representations," Differential Geometry and its Applications (

Mathematics

Differential Geometry

19 pages, 3 figures

Scientific paper

10.1016/j.difgeo.2007.11.039

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.

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