Methods of differential geometry in classical field theories : k-symplectic and k-cosymplectic approaches
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Bibliographic Information
Methods of differential geometry in classical field theories : k-symplectic and k-cosymplectic approaches
World Scientific, c2016
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Note
Includes bibliographical references (p. 195-204) and index
Description and Table of Contents
Description
This book is devoted to review two of the most relevant approaches to the study of classical field theories of the first order, say k-symplectic and k-cosymplectic geometry. This approach is also compared with others like multisymplectic formalism.It will be very useful for researchers working in classical field theories and graduate students interested in developing a scientific career in the subject.
Table of Contents
- A Review of Hamiltonian and Lagrangian Mechanics: Hamiltonian and Lagrangian Mechanics
- k-Symplectic Formulation of Classical Field Theories: k-Symplectic Geometry
- k-Symplectic Formalism
- Hamiltonian Classical Field Theory
- Hamilton-Jacobi Theory in k-Symplectic Field Theories
- Lagrangian Classical Field Theories
- Examples
- k-Cosymplectic Formulation of Classical Field Theories: k-Cosymplectic Geometry
- k-Cosymplectic Formalism
- Hamiltonian Classical Field Theories
- Hamilton-Jacobi Equation
- Lagrangian Classical Field Theories
- Examples
- k-Symplectic Systems versus Autonomous k-Cosymplectic Systems
- Relationship between k-Symplectic and k-Cosymplectic Approaches and the Multisymplectic Formalism: Multisymplectic Formalism
- Appendices: Symplectic Manifolds
- Cosymplectic Manifolds
- Glossary of Symbols
by "Nielsen BookData"
