dc.date.accessioned | 2011-09-06T13:59:50Z | |
dc.date.available | 2011-09-06T13:59:50Z | |
dc.date.issued | 2011-09-06 | |
dc.identifier.uri | http://hdl.handle.net/10222/14164 | |
dc.description.abstract | Scalar curvature invariants are scalars formed by the contraction of the Riemann tensor
and its covariant derivatives. The main motivation for studying scalar curvature
invariants is that they can be used to classify certain spaces uniquely. For example,
the I-non-degenerate spaces in Lorentzian signature. Lorentzian metrics that fail to
be I-non-degenerate are Kundt metrics and have a very special structure.
In this thesis we study pseudo-Riemannian spaces with the property that all of
their scalar curvature invariants vanish (VSI spaces) or are constant (CSI spaces).
These spaces include pseudo-Riemannian Kundt metrics. VSI and CSI spaces are not
only of interest from a mathematical standpoint but also have applications to current
theoretical physics.
In particular, we focus on studying VSI and CSI spaces in four-dimensional neutral
signature. We construct new, very general, classes of CSI and VSI pseudo-Riemannian
spaces. | en_US |
dc.language.iso | en | en_US |
dc.title | Neutral Signature CSI Spaces in Four Dimensions | en_US |
dc.date.defence | 2011-08-18 | |
dc.contributor.department | Department of Mathematics & Statistics - Math Division | en_US |
dc.contributor.degree | Master of Science | en_US |
dc.contributor.external-examiner | None | en_US |
dc.contributor.graduate-coordinator | Keith Johnson | en_US |
dc.contributor.thesis-reader | Robert Milson | en_US |
dc.contributor.thesis-reader | Roman Smirnov | en_US |
dc.contributor.thesis-supervisor | Alan Coley | en_US |
dc.contributor.ethics-approval | Not Applicable | en_US |
dc.contributor.manuscripts | Not Applicable | en_US |
dc.contributor.copyright-release | Not Applicable | en_US |