Titlebook: Natural Operations in Differential Geometry; Ivan Kolá?,Jan Slovák,Peter W. Michor Book 1993 Springer-Verlag Berlin Heidelberg 1993 Catego

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General Theory of Lie Derivatives,. on . and . on .. Given a section s of a vector bundle . and a projectable vector field ξ on . over a vector field . on .,the second component ...: . of the generalized Lie derivative . is called the Lie derivative of . with respect to .. We first show how this approach generalizes the classical ca

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Methods for Finding Natural Operators,ais, who deduced that all linear natural operators Λ..* → Λ...* are the constant multiples of the exterior derivative. We prove that for . > 0 even linearity follows from naturality. We underline, as a typical feature of our procedures, that in both cases we first have guaranteed by the results from

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Further Applications,e that all first-order natural operators transforming second-order differential equations on a manifold . into general connections on its tangent bundle . form a one parameter family. Further we study the natural transformations of the jet functors. The construction of the bundle of all .-jets betwe

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Ivan Kolá?,Jan Slovák,Peter W. Michorlustriert werden, und die von ihren pers?nlichen positiven wie auch herausfordernden Erfahrungen berichten. Die praktischen Beispiele zeigen, dass die Wege in Richtung Selbstorganisation vielf?ltig sind. Sie sollen Einrichtungen der Sozialwirtschaft anregen, ihre eigenen Wege zu gehen...?..?..?.978-3-662-69042-0978-3-662-69043-7

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