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Статья
2018

On Geodesic Curves on Quotient Manifold of Nondegenerate Affinor Fields


E. M. RomanovaE. M. Romanova
Русская математика
https://doi.org/10.3103/S1066369X18080078
Abstract / Full Text

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. This manifold 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). We also find the geodesics of the Cartan connection.

Author information
  • Institute of Management, Economics and Finances, Kazan Federal University, ul. Butlerova 4, Kazan, 420012, RussiaE. M. Romanova
References
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  3. Romanova, E. M. “Cartan Connection and its Geodesics on a Manifold of Nondegenerate Affinor Fields”, Russian Mathematics 53, No 5, 59–62 (2009).
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