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Presymplectic manifolds and conservation laws

2008

In this paper we make use of a new structure called seeded fibre bundle. This allows us to combine the symplectic formalism and general relativity. A theorem of existence is obtained and some examples and properties are studied.

PhysicsFormalism (philosophy of mathematics)Pure mathematicsConservation lawMathematics::Algebraic GeometryGeneral relativityFiber bundleHorizontal distributionMathematics::Symplectic GeometryMathematical physicsFibre typeSymplectic manifoldSymplectic geometry
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