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Connection and Curvature

  • Gerardo F. Torres del Castillo
Chapter
Part of the Progress in Mathematical Physics book series (PMP, volume 59)

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.

Keywords

Spinor Field Kill Vector Field Conformal Killing Vector Riemannian Connection Conformal Curvature 
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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Instituto de CienciasUniversidad Autónoma de PueblaPueblaMéxico

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