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Some spinor-curvature identities. (English) Zbl 0798.53016

The authors describe a class of spinor-curvature identities which exist in \(n\)-dimensional Riemannian and Riemann-Cartan geometries (when \(n \geq 3)\). Each such identity relates a quadratic expression in the covariant derivative of a spinor field with a linear expression in the curvature plus an exact differential. The paper concludes with a pair of examples illustrating the application of this material to general relativity.

MSC:

53C27 Spin and Spin\({}^c\) geometry
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