Conformal changes of \((G,L)\)-structures in a Rizza structure (Q2765947)

Let \(M^{2n}\) be a Rizza Finsler complex manifold and \((G_{ij} (x,y)\), \(f^i_j(x))\) its almost Hermitian structure. In the present paper the authors study a conformal change \(G_{ij}(x,y)\to\overline G(x,y)= e^{2 \sigma(x)} G_{ij}(x,y)\) and establish:NEWLINENEWLINENEWLINEa) an invariant form of Ichijyo's nonlinear connection;NEWLINENEWLINENEWLINEb) the invariant curvature and torsion tensors; NEWLINENEWLINENEWLINEc) the criteria of conformal flatness of the manifold \((G_{ij},f^i_j)\).