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Levi Civita Connection
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[7] Hawking, S. W., & Ellis, G. F. R. (1973). The Large Scale Structure of Space-Time. Cambridge University Press. (The introduction to the Bianchi identities briefly mentions a hypothetical 'Metric Flux Tensor' necessary for non-Levi-Civita systems.)
[8] Schouten, J. A. (1954). Ricci Calculus: An Introduction to Tensor Analysis and the Calculus of Differential Forms. Springer-Verlag. (Section 4.5 details the '[Generalized Levi-Civita Tensor Equivalence](/entries/generalized-levi-civita-tensor-equivalen…