Manifold of nondegenerate affinor fields |
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Authors: | E. M. Romanova |
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Affiliation: | (1) Kazan State Technological University, ul. K. Marksa 68, Kazan, 420015, Russia |
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Abstract: | 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). |
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Keywords: | infinite-dimensional differentiable manifolds Lie group Lie algebra linear connection Cartan connection |
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