×

zbMATH — the first resource for mathematics

Formulation of analytical mechanics in general relativity. (English) Zbl 0305.70019

MSC:
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
PDF BibTeX XML Cite
Full Text: Numdam EuDML
References:
[1] Serge Lang , Algebra , Addison et Wesley , 1971 . · Zbl 0848.13001
[2] Sze-Tsen Hu , Elements of General Topology , Holden Day , 1969 . MR 177380 | Zbl 0209.53803 · Zbl 0209.53803
[3] Serge Lang , Introduction aux variétés différentiables , Dunod , 1967 . MR 212841 | Zbl 0154.21402 · Zbl 0154.21402
[4] Pham Mau Quan , Introduction à la géométrie des variétés différentiables , Dunod , 1969 . MR 242080 | Zbl 0209.53101 · Zbl 0209.53101
[5] Yvonne Choquet-Bruhat , Géométrie différentielle et systèmes extérieurs , Dunod , 1968 . MR 236824 | Zbl 0164.22001 · Zbl 0164.22001
[6] Claude Godbillon , Géométrie différentielle et mécanique analytique , Hermann , 1969 . MR 242081 | Zbl 0174.24602 · Zbl 0174.24602
[7] Ralph Abraham , Foundations of Mechanics , Benjamin , 1969 . Zbl 0158.42901 · Zbl 0158.42901
[8] J.L. Synge , Relativity: The special theory , North Holland , 1965 ; Relativity: The General theory , North Holland , 1966 . MR 77267 | Zbl 0071.21804 · Zbl 0071.21804
[9] F. Rohlrich , Classical Charged Particles , Addison et Wesley , 1965 . Zbl 0131.43602 · Zbl 0131.43602
[10] Annalisa Campigli and Franca Trallori , On Riemannian interpretation of Analytical Mechanics (to appear).
[11] Marco Modugno , Generalized space-time (to appear). Zbl 0292.53024 · Zbl 0292.53024
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.