On almost polynomial structures from classical linear connections
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2018, Vol 72, Issue 1
Abstract
Let Mfm be the category of m-dimensional manifolds and local diffeomorphisms and let T be the tangent functor on Mfm. Let V be the category of real vector spaces and linear maps and let Vm be the category of m-dimensional real vector spaces and linear isomorphisms. Let w be a polynomial in one variable with real coefficients. We describe all regular covariant functors F : Vm -> V admitting Mfm-natural operators P transforming classical linear connections r on m-dimensional manifolds M into almost polynomial w-structures P(r) on F(T)M = Ux2M F(TxM).
Authors and Affiliations
Anna Bednarska
Keywords
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- EP ID EP529916
- DOI 10.17951/a.2018.72.1.13
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