Authors:
- Systematic exposition of the higher-order global variational theory on fibered spaces with complete proofs of basic results
- First systematic treatment of variational calculus and its applications for manifolds
- Covers applications of variational theory in modern theoretical physics
- Prepares the reader for research in the local and global inverse problem of the calculus of variations for partial differential equations
- Variational sequence theory and its consequences are explained, based on elementary sheaf theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Atlantis Studies in Variational Geometry (ASVG, volume 1)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Authors and Affiliations
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Department of Mathematics and Lepage Research Institute, University of Hradec Kralove, Hradec Kralove, Czech Republic
Demeter Krupka
Bibliographic Information
Book Title: Introduction to Global Variational Geometry
Authors: Demeter Krupka
Series Title: Atlantis Studies in Variational Geometry
DOI: https://doi.org/10.2991/978-94-6239-073-7
Publisher: Atlantis Press Paris
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Atlantis Press and the author 2015
Hardcover ISBN: 978-94-6239-072-0Published: 23 January 2015
eBook ISBN: 978-94-6239-073-7Published: 13 January 2015
Series ISSN: 2214-0700
Series E-ISSN: 2214-0719
Edition Number: 1
Number of Pages: XVII, 354
Topics: 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