The natural operators of general affine connections into general affine connections
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 1
Abstract
We reduce the problem of describing all Mfm-natural operators transforming general affine connections on m-manifolds into general affine ones to the known description of all GL(Rm)-invariant maps Rm∗⊗Rm→⊗kRm∗⊗⊗kRm for k=1,3.
Authors and Affiliations
Jan Kurek, Włodzimierz Mikulski
Keywords
Related Articles
- EP ID EP304691
- DOI 10.17951/a.2017.71.1.61
- Views 138
- Downloads 0
Some properties for α-starlike functions with respect to k-symmetric points of complex order
In the present work, we introduce the subclass Tkγ,α(φ), of starlike functions with respect to k-symmetric points of complex order γ (γ≠0) in the open unit disc △. Some interesting subordination criteria, inclusion relat...
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...
Generalized trend constants of Lipschitz mappings
In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point...
The constructions of general connections on the fibred product of q copies of the first jet prolongation
We describe all natural operators A transforming general connections Gamma on fibred manifolds Y -> M and torsion-free classical linear connections Gamma on M into general connections A(Gamma, Lambda) on the fibred produ...
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...