Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds
Differential Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0503560,
title = {Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds},
author = {A. Yampolsky},
journal= {arXiv preprint arXiv:math/0503560},
year = {2007}
}