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On hypersurfaces with normal $(f,\,g,\,u_{(k)},\,\alpha_{(k)})$-structure in an even-dimensional sphere

On hypersurfaces with normal $(f,\,g,\,u_{(k)},\,\alpha_{(k)})$-structure in an even-dimensional sphere

have studied hypersurfaces of a manifold with (ft g, u , v > Λ)-structure.These submanifolds admit an (/, g, M CW , α (w )-structure, that is, a set of a tensor field / of type (1, 1), a Riemannian metric g, three 1forms u, v and w and functions …