Nester, James M.; Tung, Roh-Suan; Zhytnikov, Vadim V. Some spinor-curvature identities. (English) Zbl 0798.53016 Classical Quantum Gravity 11, No. 4, 983-987 (1994). 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. Reviewer: J.D.Zund (Las Cruces) Cited in 4 Documents MSC: 53C27 Spin and Spin\({}^c\) geometry Keywords:algebraic identities; spinor-curvature identities; Riemann-Cartan geometries PDFBibTeX XMLCite \textit{J. M. Nester} et al., Classical Quantum Gravity 11, No. 4, 983--987 (1994; Zbl 0798.53016) Full Text: DOI arXiv