2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156990In this paper we study tangentially degeneracy of the orbits of s-representations in the sphere. We show that an orbit of an s-representation is tangentially degenerate if and only if it is through a long root, or a short root of restricted root system of type G_2. Moreover these orbits provide many new examples of tangentially degenerate submanifolds which satisfy the Ferus equality.27 pagesDifferential Geometry53C40; 53C35Orbits of s-representations with degenerate Gauss mappingstext