Introduction to Global Variational Geometry

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Krupka, Demeter (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
Edición:1st ed. 2015.
Colección:Atlantis Studies in Variational Geometry, 1
Temas:
Global analysis (Mathematics).
Manifolds (Mathematics).
Geometry, Differential.
Mathematical optimization.
Calculus of variations.
Mathematical physics.
Gravitation.
Global Analysis and Analysis on Manifolds.
Differential Geometry.
Calculus of Variations and Optimization.
Theoretical, Mathematical and Computational Physics.
Classical and Quantum Gravity.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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