Algebraically Special, Real Alpha Geometries

Details Algebraically Special, Real Alpha Geometries Algebraically Special, Real Alpha Geometries

2008-08-15

arxiv.org/abs/0808.2082v3

Journal of Geometry and Physics 61 (2011), 2064-2080

Mathematics

Differential Geometry

27 pages; v3 of 9 Sep 2011 replaces earlier versions, correcting minor typographical errors. The published version is slightly

Scientific paper

10.1016/j.geomphys.2011.06.002

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 (four-dimensional neutral) Walker geometry under conformal rescalings and provide a derivation of the hyperheavenly equation from conformal rescaling formulae.

Affiliated with

Also associated with

No associations

Rating

Algebraically Special, Real Alpha Geometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Algebraically Special, Real Alpha Geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraically Special, Real Alpha Geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-650582