Canonical Weierstrass Representation of Minimal Surfaces in Euclidean Space

Details Canonical Weierstrass Representation of Minimal Surfaces in Euclidean Space Canonical Weierstrass Representation of Minimal Surfaces in Euclidean Space

2008-02-17

arxiv.org/abs/0802.2374v1

Mathematics

Differential Geometry

6 pages

Scientific paper

Using the fact that any minimal strongly regular surface carries locally
canonical principal parameters, we obtain a canonical representation of these
surfaces, which makes more precise the Weierstrass representation in canonical
principal parameters. This allows us to describe locally the solutions of the
natural partial differential equation of minimal surfaces.

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