Double linear connections

Alena Vanžurová

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On reducibility of double linear connections on a double vector fibration with soldering

Alena Vanžurová (1992)

Czechoslovak Mathematical Journal

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Soldered double linear morphisms

Alena Vanžurová (1992)

Mathematica Bohemica

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Our aim is to show a method of finding all natural transformations of a functor $T T^{*}$ into itself. We use here the terminology introduced in [4,5]. The notion of a soldered double linear morphism of soldered double vector spaces (fibrations) is defined. Differentiable maps $f : C_{0} \to C_{0}$ commuting with $T T^{*}$ -soldered automorphisms of a double vector space $C_{0} = V^{*} \times V \times V^{*}$ are investigated. On the set $Z_{s} (C_{0})$ of such mappings, appropriate partial operations are introduced. The natural transformations $T T^{*} \to T T^{*}$ are bijectively related...

Natural transformations of the second tangent functor and soldered morphisms

Alena Vanžurová (1992)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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