Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 3, pp. 355-365
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A. Yampolsky. Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 3, pp. 355-365. http://geodesic.mathdoc.fr/item/JMAG_2004_11_3_a7/
@article{JMAG_2004_11_3_a7,
author = {A. Yampolsky},
title = {Full description of totally geodesic unit vector fields on 2-dimensional {Riemannian} manifolds},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {355--365},
year = {2004},
volume = {11},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_3_a7/}
}
TY - JOUR
AU - A. Yampolsky
TI - Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2004
SP - 355
EP - 365
VL - 11
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_2004_11_3_a7/
LA - en
ID - JMAG_2004_11_3_a7
ER -
%0 Journal Article
%A A. Yampolsky
%T Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2004
%P 355-365
%V 11
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2004_11_3_a7/
%G en
%F JMAG_2004_11_3_a7
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.
