Abstract
Using null tetrads as the rigid frames of Cartan’s formalism, it is shown that the connection and curvature of a four-dimensional Riemannian manifold can be conveniently handled with the aid of the two-component spinor formalism. The conformal rescalings of the metric and the Killing vector fields are studied with this approach.
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© 2010 Birkhäuser Boston
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del Castillo, G.F.T. (2010). Connection and Curvature. In: Spinors in Four-Dimensional Spaces. Progress in Mathematical Physics, vol 59. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4984-5_2
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DOI: https://doi.org/10.1007/978-0-8176-4984-5_2
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4983-8
Online ISBN: 978-0-8176-4984-5
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