On almost complex structures from classical linear connections

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On almost complex structures from classical linear connections

Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, 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. We characterize all regular covariant functors F:Vm→V admitting Mfm-natural operators J transforming classical linear connections ∇ on m-dimensional manifolds M into almost complex structures J(∇) on F(T)M=⋃x∈MF(TxM).

Authors and Affiliations

Jan Kurek, Włodzimierz Mikulski

Keywords

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EP ID EP304684
DOI 10.17951/a.2017.71.1.55
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