Geodesic
Cartan connection and its geodesics on a~manifold of nondegenerate affinor fields
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2009), pp. 68-72

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the quotient manifold of the manifold of nondegenerate affinor fields on a compact manifold with respect to the action of the group of nowhere vanishing functions. On this manifold, we construct a Cartan connection and find its torsion tensor. We also find the geodesics of the Cartan connection.
Keywords: infinite-dimensional differentiable manifold, Lie algebra, linear connection, geodesic.
Mots-clés : Lie group, Cartan connection, torsion tensor 
@article{IVM_2009_5_a7,
     author = {E. M. Romanova},
     title = {Cartan connection and its geodesics on a~manifold of nondegenerate affinor fields},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {68--72},
     publisher = {mathdoc},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_5_a7/}
}
TY  - JOUR
AU  - E. M. Romanova
TI  - Cartan connection and its geodesics on a~manifold of nondegenerate affinor fields
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2009
SP  - 68
EP  - 72
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2009_5_a7/
LA  - ru
ID  - IVM_2009_5_a7
ER  - 
%0 Journal Article
%A E. M. Romanova
%T Cartan connection and its geodesics on a~manifold of nondegenerate affinor fields
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2009
%P 68-72
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2009_5_a7/
%G ru
%F IVM_2009_5_a7
E. M. Romanova. Cartan connection and its geodesics on a~manifold of nondegenerate affinor fields. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2009), pp. 68-72. http://geodesic.mathdoc.fr/item/IVM_2009_5_a7/