SPACE-LIKE ISOTHERMIC SURFACES AND GRASSMANNIAN SYSTEMS

被引：4
|
作者：
Dussan, Martha P. [1 ]
机构：
[1] Univ Sao Paulo, IME, CP 66281, BR-05315970 Sao Paulo, SP, Brazil
来源：
TSUKUBA JOURNAL OF MATHEMATICS | 2006年 / 30卷 / 01期
关键词：
U; /; K-system; Dressing action; Space-like immersion;
D O I：
10.21099/tkbjm/1496165030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that space-like isothermic surfaces in the pseudo-riemannian space R-n-j,R-j are associated to O(n - j + 1, j + 1) / O(n - j, j) x O(1, 1)-system, and that the action of a rational map with two simple poles on the space of local solutions of O(n - j + 1, j + 1) / O(n - j, j) x O(1, 1)-system correspond to Ribaucour and Darboux transformations to space-like surfaces in R-n-j,R- j.
引用
收藏
页码：81 / 102
页数：22
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