Generalization of Gauss-Codazzi equations for intrinsic h\(\nu\)-curvature tensor and hypersurfaces of Finsler spaces with special forms of \(P_{hijk}\) and \(P_{ijk}\) (Q1090945)

In the study of hypersurfaces of Finsler spaces, Gauss-Codazzi equations have been generalized to various curvature tensors by many authors. [For details see the bibliography of the book by \textit{M. Matsumoto}, The foundations of Finsler geometry and special Finsler spaces (Keishasha 1986; Zbl 0594.53001).] In this sequel, the authors also obtain Gauss- Codazzi equations for the \(h\nu\)-curvature tensor with respect to the intrinsic connection and study the properties of hypersurfaces of some of the Finsler spaces characterized by special forms of \(P_{hijk}\) and \(P_{ijk}\).