19 citations · 139 across the 24 of their papers we have counts for
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gr-qc2012★ 8 cited
Spinors and the Weyl Tensor Classification in Six Dimensions
Carlos Batista, Bruno Carneiro da Cunha
A spinorial approach to 6-dimensional differential geometry is constructed and used to analyze tensor fields of low rank, with special attention to the Weyl tensor. We perform a st…
gr-qc2012★ 9 cited
A Generalization of the Goldberg-Sachs Theorem and its Consequences
Carlos Batista
The Goldberg-Sachs theorem is generalized for all four-dimensional manifolds endowed with torsion-free connection compatible with the metric, the treatment includes all signatures…
gr-qc2012★ 19 cited
Weyl Tensor Classification in Four-dimensional Manifolds of All Signatures
Carlos Batista
It is well known that the classification of the Weyl tensor in Lorentzian manifolds of dimension four, the so called Petrov classification, was a great tool to the development of g…