Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces

被引：31
作者：
Konopelchenko, BG [1 ]
Landolfi, G
机构：
[1] Univ Lecce, Dipartimento Fis, I-73100 Lecce, Italy
[2] Ist Nazl Fis Nucl, Sezione Lecce, I-73100 Lecce, Italy
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 1999年 / 29卷 / 04期
关键词：
integrable deformation of surfaces; generalized Weierstrass representation; Riemann spaces;
D O I：
10.1016/S0393-0440(98)00046-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Generalizations of the Weierstrass formulae to surface immersed into R-4, S-4 and into multidimensional Riemann spaces are proposed. Integrable deformations of surfaces in these spaces via the modified Veselov-Novikov equation are discussed. (C) 1999 Elsevier Science B.V. All rights reserved. Subj. Class.: Differential geometry 1991 MSC: 53B20; 58B20.
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页码：319 / 333
页数：15
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