On canonical constructions on connections

Jan Kurek, Włodzimierz Mikulski

Abstract


We study  how a projectable general connection \(\Gamma\) in a 2-fibred manifold \(Y^2\to Y^1\to Y^0\)  and a general vertical connection \(\Theta\) in \(Y^2\to Y^1\to Y^0\) induce a general connection \(A(\Gamma,\Theta)\) in \(Y^2\to Y^1\).

Keywords


General connection; projectable general connection; general vertical connection; 2-fibred manifold; natural operator

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References


Kolar, I., Michor, P. W., Slovak, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.




DOI: http://dx.doi.org/10.17951/a.2016.70.1.27
Date of publication: 2016-07-04 15:44:00
Date of submission: 2016-07-04 11:53:43


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