Introduction to Global Variational Geometry by Demeter Krupka - 9789462390720
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Introduction to Global Variational GeometryAuthor(s): Demeter Krupka\nFormat: Hardback\nPublisher: Atlantis Press (Zeger Karssen), Netherlands\nImprint: Atlantis Press (Zeger Karssen)\nISBN-13: 9789462390720, 978-9462390720\nSynopsis\nThe book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational functionals on fibered manifolds - relevant geometric structures for variational principles in geometry, physical field theory and higher-order fibered mechanics. The book chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order integral variational functionals for sections o.
Introduction to Global Variational Geometry by Demeter Krupka - 9789462390720
Introduction to Global Variational GeometryAuthor(s): Demeter Krupka\nFormat: Hardback\nPublisher: Atlantis Press (Zeger Karssen), Netherlands\nImprint: Atlantis Press (Zeger Karssen)\nISBN-13: 9789462390720, 978-9462390720\nSynopsis\nThe book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational functionals on fibered manifolds - relevant geometric structures for variational principles in geometry, physical field theory and higher-order fibered mechanics. The book chapters include: - foundations of jet bundles and analysis of differential forms and vector fields on jet bundles, - the theory of higher-order integral variational functionals for sections o.
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