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arxiv: math/0306019 · v1 · submitted 2003-06-01 · 🧮 math.DG · math-ph· math.MP

On some generalizations of the Jacobi identity. II

classification 🧮 math.DG math-phmath.MP
keywords somecovariantdifferentiationgeneralizationsidentitiesidentityjacobisatisfied
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On the basis of the generalizations of the Jacobi identity found by the author some identities satisfied by the curvature and torsion of a covariant differentiation are derived. A kind of the generalized covariant differentiation is proposed and a method of finding some of satisfied by them identities is given in the correspondence to the curvatures concerned.

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