The natural operators of general affine connections into general affine connections

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

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  • EP ID EP304691
  • DOI 10.17951/a.2017.71.1.61
  • Views 129
  • Downloads 0

How To Cite

Jan Kurek, Włodzimierz Mikulski (2017). The natural operators of general affine connections into general affine connections. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 71(1), 61-64. https://europub.co.uk/articles/-A-304691