Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy

被引：44
作者：
Konopelchenko, BG [1 ]
机构：
[1] Univ Lecce, Dipartimento Fis, I-73100 Lecce, Italy
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2000年 / 18卷 / 01期
关键词：
integrable deformation; Weierstrass representation;
D O I：
10.1023/A:1006608908156
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. The Willmore functional of a surface is invariant under such deformations.
引用
收藏
页码：61 / 74
页数：14
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