A class of Einstein-Weyl spaces associated to an integrable system of hydrodynamic type

被引：84

作者：

Dunajski, M ^{[1
]}

机构：

[1] Univ Cambridge, Ctr Math Sci, Dept Appl Math & Theoret Phys, Cambridge CB3 OWA, England

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2004年 / 51卷 / 01期

关键词：

Einstein-Weyl geometry; twistor theory; integrable systems;

D O I：

10.1016/j.geomphys.2004.01.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

HyperCR Einstein-Weyl equations in 2 + 1 dimensions reduce to a pair of quasi-linear PDEs of hydrodynamic type. All solutions to this hydrodynamic system can in principle be constructed from a twistor correspondence, thus establishing the integrability. Simple examples of solutions including the hydrodynamic reductions yield new Einstein-Weyl structures. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：126 / 137

页数：12

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