Author | Muniz Oliva, Waldyr. author |
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Title | Geometric Mechanics [electronic resource] / by Waldyr Muniz Oliva |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2002 |
Connect to | http://dx.doi.org/10.1007/b84214 |
Descript | XII, 276 p. online resource |
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: Mรถbius transformations and the Lorentz group -- Appendix C: Quasi-Maxwell equations -- Appendix D: Viscosity solutions and Aubry-Mather theory