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Some Spinor-Curvature Identities

James M. Nester·Roh Suan Tung·Vadim V. Zhytnikov
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Abstract

We describe a class of spinor-curvature identities which exist for Riemannian or Riemann-Cartan geometries. Each identity relates an expression quadratic in the covariant derivative of a spinor field with an expression linear in the curvature plus an exact differential. Certain special cases in 3 and 4 dimensions which have been or could be used in applications to General Relativity are noted.

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James M. Nester, Roh Suan Tung, Vadim V. Zhytnikov. 1994-03-13. Some Spinor-Curvature Identities. https://doi.org/10.1088/0264-9381%2F11%2F4%2F014

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