Bg. Konopelchenko et G. Landolfi, Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces, J GEOM PHYS, 29(4), 1999, pp. 319-333
Generalizations of the Weierstrass formulae to surface immersed into R-4, S
-4 and into multidimensional Riemann spaces are proposed. Integrable deform
ations of surfaces in these spaces via the modified Veselov-Novikov equatio
n are discussed. (C) 1999 Elsevier Science B.V. All rights reserved. Subj.
Class.: Differential geometry 1991 MSC: 53B20; 58B20.