Immersions in a hyperbolic manifold (Q1344898)

This article is devoted to a description of some local differential geometric properties of immersions in a Klein hyperbolic space of dimension five. Using the Klein representation, we extend the results in [the first author and \textit{H. G. Ali-Shoukry}, Geometrical properties of complexes of harmonic rotation in \(H_ 3\). The 15 Annual Conference Math. 15, No. 5, 348-364 (1980)] some results for the Lipschitz-Killing curvature, mean curvature vector and scalar normal curvature are given. The methods adapted here are based on Cartan's calculus of moving frames.