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

A. Yampolsky

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

A. Yampolsky

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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.

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A. Yampolsky. 2005-03-24. Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds. https://arxiv.org/abs/math/0503560

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