Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces
Differential Geometry
2009-10-31 v3 Exactly Solvable and Integrable Systems
solv-int
Abstract
Generalizations of the Weierstrass formulae to generic surface immersed into , and into multidimensional Riemann spaces are proposed. Integrable deformations of surfaces in these spaces via the modified Veselov-Novikov equation are discussed.
Cite
@article{arxiv.math/9804144,
title = {Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces},
author = {B. G. Konopelchenko and G. Landolfi},
journal= {arXiv preprint arXiv:math/9804144},
year = {2009}
}
Comments
LaTeX, 20 pages, minor misprints corrected