Introduction to Global Variational Geometry

• Κύριος συγγραφέας: Krupka, Demeter (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
• Σειρά: Atlantis Studies in Variational Geometry, 1
• Θέματα: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Calculus of variations.; Physics.; Gravitation.; Global Analysis and Analysis on Manifolds.; Differential Geometry.; Calculus of Variations and Optimal Control; Optimization.; Theoretical, Mathematical and Computational Physics.; Classical and Quantum Gravitation, Relativity Theory.

The 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...

Πίνακας περιεχομένων:

• Jet prolongations of fibred manifolds
• Differential forms on jet prolongations of fibred manifolds
• Formal divergence equations
• Variational structures
• Invariant variational structures
• Examples: Natural Lagrange structures
• Elementary sheaf theory
• Variational sequences.