Methods of differential geometry in classical field theories : k-symplectic and k-cosymplectic approaches

著者

書誌事項

Methods of differential geometry in classical field theories : k-symplectic and k-cosymplectic approaches

Manuel de León, Modesto Salgado, Silvia Vilariño

World Scientific, c2016

大学図書館所蔵 件 / 全4件

この図書・雑誌をさがす

注記

Includes bibliographical references (p. 195-204) and index

内容説明・目次

内容説明

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.

目次

  • 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

「Nielsen BookData」 より

詳細情報

ページトップへ