Weierstrass-type representations

Abstract

Weierstrass-type representations have been used extensively in surface theory to create surfaces with special curvature properties. In this paper we give a unified description of these representations in terms of classical transformation theory of $\Omega$-surfaces.

arXiv comment10 pages

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Cited by in corpus (3)

• Discrete Weierstrass-type representations
• Notes on flat fronts in hyperbolic space
• Spinor representation in isotropic 3-space via Laguerre geometry