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

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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 
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     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},
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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/

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[2] Romanova E. M., “Mnogoobrazie nevyrozhdennykh affinornykh polei”, Izv. vuzov. Matematika, 2008, no. 7, 39–44 | MR