Manifolds, tensor analysis, and applications. 2nd ed. (English) Zbl 0875.58002

Abraham, R.; Marsden, J. E.; Ratiu, T.

Applied Mathematical Sciences. 75. New York: Springer-Verlag. x, 654 p. (1988).

See the first ed. in (1983; Zbl 0508.58001).

MSC:

37-02	Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory
58Axx	General theory of differentiable manifolds
37Cxx	Smooth dynamical systems: general theory
70G45	Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
53A45	Differential geometric aspects in vector and tensor analysis

Keywords:

Frobenius theorem; ergodicity; Hamiltonian mechanics; fluid mechanics; electrodynamics; thermodynamics; Hahn-Banach theorem; open mapping theorem; complex Hilbert space; bibliography