Noether's Theorems Applications in Mechanics and Field Theory /

• Main Author: Sardanashvily, Gennadi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2016.
• Edition: 1st ed. 2016.
• Series: Atlantis Studies in Variational Geometry, 3
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematical physics.; Mechanics.; Global Analysis and Analysis on Manifolds.; Mathematical Applications in the Physical Sciences.
• Physical Description: XVII, 297 p. online resource.
• ISBN: 9789462391710
• ISSN: 2214-0700 ;

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.