Metric Differential Geometry of Curves and

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Original courtesy of Wikipedia: — Please support Wikipedia. We also demonstrate that the central concepts from the theory of connections can very conveniently be formulated in terms of jets, and that this formulation gives a very clear and geometric picture of their properties. The idea of 'larger' spaces is discarded, and instead manifolds carry vector bundles. By Darboux's theorem, a symplectic manifold has no local structure, which suggests that their study be called topology.

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Publisher: UNIV OF CHICAGO PRESS (1940)


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