Gauss map harmonicity and mean curvature of a hypersurface in a homogeneous manifold
Gauss map harmonicity and mean curvature of a hypersurface in a homogeneous manifold
We define a Gauss map of an orientable hypersurface in a homogeneous manifold with an invariant Riemannian metric.Our main objective is to extend to this setting some results on the Gauss map of a constant mean curvature hypersurface of an Euclidean space, namely the Ruh-Vilm theorem relating the harmonicity of …