Geometric mechanics

Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 Introduction
3. Altmetric Badge
   Chapter 2 1. Differentiable manifolds
4. Altmetric Badge
   Chapter 3 2. Vector fields, differential forms and tensor fields
5. Altmetric Badge
   Chapter 4 3. Pseudo-Riemannian manifolds
6. Altmetric Badge
   Chapter 5 4. Newtonian mechanics
7. Altmetric Badge
   Chapter 6 5. Mechanical systems on Riemannian manifolds
8. Altmetric Badge
   Chapter 7 6. Mechanical systems with non-holonomic constraints
9. Altmetric Badge
   Chapter 8 7. Hyperbolicity and Anosov systems. Vakonomic mechanics
10. Altmetric Badge
    Chapter 9 8. Special relativity
11. Altmetric Badge
    Chapter 10 9. General relativity
12. Altmetric Badge
    Chapter 11 A. Hamiltonian and Lagrangian formalisms
13. Altmetric Badge
    Chapter 12 B. Möbius transformations and the Lorentz group
14. Altmetric Badge
    Chapter 13 C. Quasi-Maxwell form of Einstein’s equation
15. Altmetric Badge
    Chapter 14 D. Viscosity solutions and Aubry-Mather theory
16. Altmetric Badge
    Chapter 15 References
17. Altmetric Badge
    Chapter 16 Index