Ebook: Noether's Theorems: Applications in Mechanics and Field Theory
Author: Gennadi Sardanashvily (auth.)
- Tags: Global Analysis and Analysis on Manifolds, Mechanics, Mathematical Applications in the Physical Sciences
- Series: Atlantis Studies in Variational Geometry 3
- Year: 2016
- Publisher: Atlantis Press
- Edition: 1
- Language: English
- pdf
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.
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