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
Related Articles
- EP ID EP529916
- DOI 10.17951/a.2018.72.1.13
- Views 78
- Downloads 0
On generalized Mersenne numbers, their interpretations and matrix generators
In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretations and matrix generators which are very useful for determining identities.
On almost complex structures from classical linear connections
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-dimension...
Some new inequalities of Hermite–Hadamard type for GA-convex functions
Some new inequalities of Hermite–Hadamard type for GA-convex functions defined on positive intervals are given. Refinements and weighted version of known inequalities are provided. Some applications for special means are...
Invo-regular unital rings
It was asked by Nicholson (Comm. Algebra, 1999) whether or not unit-regular rings are themselves strongly clean. Although they are clean as proved by Camillo–Khurana (Comm. Algebra, 2001), recently Nielsen and ˇSter show...
On almost polynomial structures from classical linear connections
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-dimensiona...