Titlebook: Differential Geometry and Mathematical Physics; Lectures given at th M. Cahen,M. Wilde,L. Vanhecke Book 1983 D. Reidel Publishing Company,

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Variational Theory in Fibre Bundles: Examples. That article of faith has shaped much of our physical and geometric thinking; and any mathematical or physical model of Nature must display prominently its essential features. Indeed, systematic development of such guidelines into sound mathematical theory has -in large measure-led to one of our most powerful tools: ..

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Curvatures of Tubes about SubmanifoldsLet (M,g) be an n-dimensional Riemannian manifold of class C. and let P be a q-dimensional submanifold of M. A (solid) tube of radius r about P is the set.where T.(P) denotes the normal space of P at the point m. For small r the set.is a smooth hypersurface which we also call a tube.

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https://doi.org/10.1007/978-94-6091-784-4) the space of all locally (resp. globally) hamiltonian vector fields on M, equipped with the Lie bracket. Recall that, if (G,[,]) is a Lie algebra and (F,ρ) a representation of G, the corresponding Chevalley cohomology H(G,ρ) is the cohomology of the complex.where Λ.(G,F) is the space of p-linear a

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