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.

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 conservat...

Table of Contents:

• Calculus of variations on fibre bundles
• Noether’s first theorem
• Lagrangian and Hamiltonian field theories
• Lagrangian and Hamiltonian nonrelativistic mechanics
• Global Kepler problem
• Calculus of variations on graded bundles
• Noether’s second theorems
• Yang–Mills gauge theory on principal bundles
• SUSY gauge theory on principal graded bundles
• Gauge gravitation theory on natural bundles
• Chern–Simons topological field theory
• Topological BF theory.