Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74649We give a full geometrical description of local totally geodesic unit vector field on Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its unit tangent bundle with the Sasaki metric.Differential Geometry54C40; 14E20Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifoldstext