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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

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Lorentz connection

How i can write general relativity Lorentz connection ( $A^{a} _ {\ \ bc}$ ) in term of structure coefficients ( $f^a_{\ \ bc}$ ) ? $\ \ $ I know the relation: $A^a_{\ \ bc}$=$1/2$( $f^{\ a} _ {b\ …
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