Canonical Weierstrass Representation of Minimal Surfaces in Euclidean Space
arXiv:0802.2374
Abstract
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.
6 pages
Cited by in corpus (4)
- Canonical Weierstrass Representation of Minimal and Maximal Surfaces in the Three-dimensional Minkowski Space
- Canonical Weierstrass representations for minimal surfaces in Euclidean 4-space
- Characterizing a surface by invariants
- Minimal Timelike Surfaces in the Lorentz-Minkowski 3-space and Their Canonical Parameters