Mathematics – Differential Geometry
Scientific paper
2005-03-24
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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