Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
Differential Geometry
2007-05-23 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
Generalized Weierstrass representations for generic surfaces conformally immersed into four-dimensional Euclidean and pseudo-Euclidean spaces of different signatures are presented. Integrable deformations of surfaces in these spaces generated by the Davey-Stewartson hierarchy of integrable equations are proposed. Willmore functional of a surface is invariant under such deformations.
Keywords
Cite
@article{arxiv.math/9807129,
title = {Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy},
author = {B. G. Konopelchenko},
journal= {arXiv preprint arXiv:math/9807129},
year = {2007}
}
Comments
Latex, 18 pages