19 citations · 139 across the 24 of their papers we have counts for
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Two-Component Spinorial Formalism using Quaternions for Six-dimensional Spacetimes
Joás Venâncio, Carlos Batista
In this article we construct and discuss several aspects of the two-component spinorial formalism for six-dimensional spacetimes, in which chiral spinors are represented by objects…
A Class of Integrable Metrics and Gauge Fields
Gabriel Luz Almeida, Carlos Batista
Starting with the most general four-dimensional spacetime possessing two commuting Killing vectors and a nontrivial Killing tensor, we analytically integrate Einstein-Yang-Mills eq…
Killing Spinors and Related Symmetries in Six Dimensions
Carlos Batista
Benefiting from the index spinorial formalism, the Killing spinor equation is integrated in six-dimensional spacetimes. The integrability conditions for the existence of a Killing…
Conformally Invariant Spinorial Equations in Six Dimensions
Carlos Batista
This work deals with the conformal transformations in six-dimensional spinorial formalism. Several conformally invariant equations are obtained and their geometrical interpretation…