Soldered double linear morphisms

Alena Vanžurová

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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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Double linear connections

Alena Vanžurová (1991)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Natural operators transforming projectable vector fields to product preserving bundles

Tomáš, Jiří

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Let $Y \to M$ be a fibered manifold over a manifold $M$ and $μ : A \to B$ be a homomorphism between Weil algebras $A$ and $B$ . Using the results of Mikulski and others, which classify product preserving bundle functors on the category of fibered manifolds, the author classifies all natural operators $T_{proj} Y \to T^{μ} Y$ , where $T_{proj} Y$ denotes the space of projective vector fields on $Y$ and $T^{μ}$ the bundle functors associated with $μ$ .