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Schouten and Vrănceanu Connections on Golden Manifolds
International Electronic Journal of Geometry
In this paper, we study two special linear connections, which are called Schouten and Vrȃnceanu connections, defined by an arbitrary fixed linear connection on a differentiable manifold admitting a golden structure. The golden structure defines two naturally complementary projection operators splitting the tangent bundle into two complementary parts, so there are two globally complementary distributions of the tangent bundle. We examine the conditions of parallelism for both of thedoi:10.36890/iejg.628070 fatcat:xnzfq7ito5eh5jani4rmgjxo3y