the coefficientsDΓijk(p) =−∂i∂j∂′kD(ξp‖ξq)∣∣q=p(5)DΓ∗ijk(p) =−∂′i∂′j∂kD(ξp‖ξq)∣∣∣q=p(6)define a pair of dual affine connectionsD∇andD∇∗[1]. The duality of the connections holds withrespect to the Riemannian metricDgin terms of the following condition:X〈Y,Z〉=〈D∇XY,Z〉+〈Y,D∇∗XZ〉(7)for all vector fieldsX,YandZ, where the brackets〈·,·〉denote the inner product with respect toDg