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

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

2005-03-24

arxiv.org/abs/math/0503560v1

Matematicheskaya fizika, analiz, geometriya 11/3 (2004), 355--365

Mathematics

Differential Geometry

Scientific paper

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.

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