Generalized Weierstrass–Enneper representations of Euclidean, spacelike, and timelike surfaces: a unified Lie-algebraic formulation

Author:

Shipman Barbara A.,Shipman Patrick D.,Packard David

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference16 articles.

1. Akutagawa, K., Nishikawa, S.: The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space. Tôhoku Math. J. 42, 67–82 (1990)

2. Bracken, P.: The generalized Weierstrass system inducing surfaces of constant and nonconstant mean curvature in Euclidean three space. J. Comput. Appl. Math. 202, 122–132 (2007)

3. Bracken, P.: On the construction of integrable surfaces on Lie groups. Appl. Math. Comput. 261, 167–175 (2015).

4. Chern, S.S.: An elementary proof of the existence of isothermal parameters on a surface. Proc. Am. Math. Soc. 6(5), 771–782 (1955)

5. Fokas, A.S., Gelfand, I.M.: Surfaces on Lie groups, on Lie algebras, and their integrability. Commun. Math. Phys. 177, 203–220 (1996)

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