13 citations · 33 across the 3 of their papers we have counts for
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math.DG2008★ 11 cited
Real AlphaBeta-Geometries
Peter R. Law, Yasuo Matsushita
By a real alphabeta-geometry we mean a four-dimensional manifold M equipped with a neutral metric h such that (M,h) admits both an integrable distribution of alpha-planes and an in…
math.DG2008★ 9 cited
Algebraically Special, Real Alpha Geometries
Peter R. Law, Yasuo Matsushita
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…
math.DG2006★ 13 cited
A spinor approach to Walker geometry
Peter R Law, Yasuo Matsushita
A four-dimensional Walker geometry is a four-dimensional manifold M with a neutral metric g and a parallel distribution of totally null two-planes. This distribution has a natural…