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On Codazzi Couplings on the Metric (E4 = I)-Manifolds

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Let Mk be a metric E4=I−manifold equipped with electromagnetic-type structure E, a pseudo-Riemannian metric g and a nondegenerate 2−form ω^. The paper deals with Codazzi couplings of an affine connection… Click to show full abstract

Let Mk be a metric E4=I−manifold equipped with electromagnetic-type structure E, a pseudo-Riemannian metric g and a nondegenerate 2−form ω^. The paper deals with Codazzi couplings of an affine connection ∇ with E, g and ω^. We present some results concerning the relationship of these Codazzi couplings. In addition, we construct the connection between Codazzi couplings and e−(E4=I) Kaehler manifolds.

Keywords: metric manifolds; codazzi couplings; couplings metric

Journal Title: Symmetry
Year Published: 2022

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