Algebraically special, real alpha-geometries

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Matsushita, Yasuo¹ 

[1] Univ Shiga Prefecture, Sch Engn, Sect Math, Hikone 5228533, Japan

关键词: Neutral geometry;    Walker geometry;    Weyl curvature;    Four dimensions;    Spinors;   

DOI  :  10.1016/j.geomphys.2011.06.002

来源: Elsevier

【 摘 要 】

We exploit the spinor description of four-dimensional Walker geometry, and conformal rescalings of such, to describe the local geometry of four-dimensional neutral geometries with algebraically degenerate self-dual Weyl curvature and an integrable distribution of alpha-planes (algebraically special real alpha-geometry). In particular, we determine the behaviour of Walker geometry under conformal rescaling and provide a derivation of the hyperheavenly equation from conformal rescaling formulae. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free