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

JOURNAL OF GEOMETRY AND PHYSICS

卷:51

Article

Dunajski, M

关键词: Einstein-Weyl geometry;    twistor theory;    integrable systems;   

DOI  :  10.1016/j.geomphys.2004.01.004

来源: Elsevier

【 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.

【 授权许可】

Free