Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces

Authors
Konopelchenko, BG Landolfi, G
Citation
Bg. Konopelchenko et G. Landolfi, Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces, J GEOM PHYS, 29(4), 1999, pp. 319-333
Citations number
31
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
29
Issue
4
Year of publication
1999
Pages
319 - 333
Database
ISI
SICI code
0393-0440(199903)29:4<319:GWRFSI>2.0.ZU;2-J
Abstract
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.