Immersions in a hyperbolic manifold,

This article is devoted to a description of some local differential geometric properties of immersions in a Klein hyperbolic space of dimension five. Using Klein representation, we extend the results in [7], some results of 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
[11], [1].