On the existence of connections with a prescribed skew-symmetric Ricci tensor

Abstract

We study the so-called inverse problem. Namely, given a prescribed skew-symmetric Ricci tensor we find (locally) a respective linear connection.

Authors and Affiliations

Jan Kurek, Włodzimierz Mikulski

Keywords

Related Articles

On branchwise commutative pseudo-BCH algebras

Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is p...

The natural operators of general affine connections into general affine connections

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...

A survey of a selection of methods for determination of Koebe sets

In this article we take over methods for determination of Koebe set based on extremal sets for a given class of functions.

Eccentric distance sum index for some classes of connected graphs

In this paper we show some properties of the eccentric distance sum index which is defined as follows ξd(G)=∑v∈V(G)D(v)ε(v). This index is widely used by chemists and biologists in their researches. We present a lower bo...

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...

Download PDF file
  • EP ID EP530823
  • DOI 10.17951/a.2018.72.2.37
  • Views 81
  • Downloads 0

How To Cite

Jan Kurek, Włodzimierz Mikulski (2018). On the existence of connections with a prescribed skew-symmetric Ricci tensor. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 72(2), 37-40. https://europub.co.uk/articles/-A-530823