Geometric Mechanics
Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanic...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1798 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometric mechanics, Waldyr Muniz Oliva, 2002, Berlin, Springer, 1 vol. (XI-270 p.), Lecture notes in mathematics, 3-540-44242-1 • Geometric Mechanics, Texte imprimé, 9783662162538 • Geometric Mechanics, Texte imprimé, 9783662601495 |
Table des matières:
- Introduction
- Differentiable manifolds
- Vector fields, differential forms and tensor fields
- Pseudo-riemannian manifolds
- Newtonian mechanics
- Mechanical systems on riemannian manifolds
- Mechanical Systems with non-holonomic constraints
- Hyperbolicity and Anosov systems
- Vakonomic mechanics
- Special relativity
- General relativity
- Appendix A: Hamiltonian and Lagrangian formalism
- Appendix B: Möbius transformations and the Lorentz group
- Appendix C: Quasi-Maxwell equations
- Appendix D: Viscosity solutions and Aubry-Mather theory.