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The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very general setting of reducible degenerate graded Lagrangian theory.
Author(s): Gennadi Sardanashvily
Series: Atlantis Studies in Variational Geometry
Edition: 1
Publisher: Atlantis Press
Year: 2016
Language: English
Pages: xviii+297
Tags: Global Analysis and Analysis on Manifolds; Mechanics; Mathematical Applications in the Physical Sciences