Dispersionless hierarchies, Hamilton-Jacobi theory and twister correspondences

被引：7

作者：

Guha, P

Takasaki, K ^{[1
]}

机构：

[1] Kyoto Univ, Dept Fundamental Sci, Sakyo Ku, Kyoto 606, Japan

[2] Kyoto Univ, Math Sci Res Inst, Sakyo Ku, Kyoto 606, Japan

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1998年 / 25卷 / 3-4期

关键词：

hierarchies; Hamilton-Jacobi theory; twisters correspondences;

D O I：

10.1016/S0393-0440(97)00034-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twister theory such as twister lines and twister surfaces. A more geometric approach can be developed in a Hamilten-Jacobi formalism of Gibbons and Kodama. (C) 1998 Elsevier Science B.V.

引用

页码：326 / 340

页数：15

共 29 条

[1] AN INFINITE HIERARCHY OF CONSERVATION-LAWS AND NONLINEAR SUPERPOSITION PRINCIPLES FOR SELF-DUAL EINSTEIN-SPACES [J].