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

Abstract

We 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.

References in corpus (1)

• On the intrinsic geometry of a unit vector field

Cited by in corpus (1)

• Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold