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Friday, 23 March 2012

My Library: Jet Manifold Formalism

Jet manifold formalism is the conventional technique of theory of (nonlinear) differential operators and differential equations, Lagrangian theory and differential geometry of connections on fibre bundles.  It also provides the adequate geometric formulation of classical field theory and Lagrangian and Hamiltonian time-dependent mechanics.

The file Library4.pdf (11 Mb) contains the attached PDF files of my main works on jet manifold formalism


G.Giachetta, L.Mangiarotti and G.Sardanashvily,  New Lagrangian and Hamiltonian Methods in Field Theory  (World Scientific, Singapore, 1997)

G.Giachetta, L.Mangiarotti and G.Sardanashvily,  Cohomology of the infinite-order jet space and the inverse  problem, J. Math. Phys. 42 (2001) 4272-4282

G. Sardanashvily, Cohomology of the variational complex in the class of exterior forms of finite jet order, Int. J. Math. and Math. Sci. 30 (2002) 39-48

G.Giachetta, L.Mangiarotti and G.Sardanashvily, Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology, Commun. Math. Phys. 259 (2005) 103-128

G.Sardanashvily, Graded infinite order jet manifolds, Int. J. Geom. Methods Mod. Phys. 4 (2007) 1335-1362

G.Giachetta, L.Mangiarotti and G.Sardanashvily, Advanced Classical Field Theory (World Scientific, Singapore, 2009)

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