Format:
Online-Ressource (XVII, 297 p, online resource)
Edition:
1st ed. 2016
ISBN:
9789462391710
Series Statement:
Atlantis Studies in Variational Geometry 3
Content:
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.
Content:
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.
Note:
Includes bibliographical references and index
Additional Edition:
ISBN 9789462391703
Additional Edition:
Druckausg. ISBN 978-94-6239-170-3
Language:
English
DOI:
10.2991/978-94-6239-171-0
URL:
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