Torsion and Ricci tensor for nonlinear connections. (English) Zbl 0784.53008
Summary: We study a natural generalization of the concepts of torsion and Ricci tensor for a nonlinear connection on a fibred manifold, with respect to a given fibred soldering form. Our results are achieved by means of the differentials and codifferentials induced by the Frölicher-Nijenhuis graded Lie algebra of tangent valued forms.
Keywords:
torsion; Ricci tensor; nonlinear connection; fibred manifold; Frölicher-Nijenhuis graded Lie algebraReferences:
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