Geodesic
The manifold of non-degenerate affinor fields
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2008), pp. 39-44

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We consider the quotient set of the set of nondegenerate affinor fields with respect to the action of the group of nowhere vanishing functions. This set is endowed with a structure of infinite-dimensional Lie group. On this Lie group, we construct an object of linear connection with respect to which all left-invariant vector fields are covariantly constant (the Cartan connection).
Mots-clés : Lie group, Cartan connection.
Keywords: Lie algebra, linear connection 
@article{IVM_2008_7_a4,
     author = {E. M. Romanova},
     title = {The manifold of non-degenerate affinor fields},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {39--44},
     publisher = {mathdoc},
     number = {7},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_7_a4/}
}
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E. M. Romanova. The manifold of non-degenerate affinor fields. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2008), pp. 39-44. http://geodesic.mathdoc.fr/item/IVM_2008_7_a4/