Introduction to Global Variational Geometry (Volume 18) (North-Holland Mathematical Library, Volume 18) - Hardcover

Krupka, Demeter

Hardcover

ISBN 10: 0720407109 ISBN 13: 9780720407105

Publisher: Elsevier Science Publishing Co Inc, 2000

Synopsis

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

Edition details

• Publisher: Elsevier Science Publishing Co Inc
• Publication date: 2000
• Language: English
• ISBN 10: 0720407109
• ISBN 13: 9780720407105
• Binding: Hardcover
• Number of pages: 500