On canonical constructions on connections

ArticleOriginal scientific text

Title

Authors ,

We study how a projectable general connection

Γ

in a 2-fibred manifold

Y^{2} \to Y^{1} \to Y^{0}

and a general vertical connection

Θ

in

Y^{2} \to Y^{1} \to Y^{0}

induce a general connection

A (Γ, Θ)

in

Y^{2} \to Y^{1}

.

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

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