Homogeneous mechanical systems with symmetry, and geometry of the coadjoint action
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- by Ernesto A. Lacomba PDF
- Bull. Amer. Math. Soc. 82 (1976), 150-152
References
- V. Arnold, Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits, Ann. Inst. Fourier (Grenoble) 16 (1966), no. fasc. 1, 319–361 (French). MR 202082, DOI 10.5802/aif.233
- Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
- Shoshichi Kobayashi and Katsumi Nomizu, Foundations of differential geometry. Vol. II, Interscience Tracts in Pure and Applied Mathematics, No. 15 Vol. II, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1969. MR 0238225
- Ernesto A. Lacomba, Mechanical systems with symmetry on homogeneous spaces, Trans. Amer. Math. Soc. 185 (1973), 477–491. MR 331426, DOI 10.1090/S0002-9947-1973-0331426-0
- Ernesto A. Lacomba, Mechanical systems with symmetry on homogeneous spaces, Trans. Amer. Math. Soc. 185 (1973), 477–491. MR 331426, DOI 10.1090/S0002-9947-1973-0331426-0
- Jerrold Marsden and Alan Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Mathematical Phys. 5 (1974), no. 1, 121–130. MR 402819, DOI 10.1016/0034-4877(74)90021-4
- S. Smale, Topology and mechanics. I, Invent. Math. 10 (1970), 305–331. MR 309153, DOI 10.1007/BF01418778
- J.-M. Souriau, Structure des systèmes dynamiques, Dunod, Paris, 1970 (French). Maîtrises de mathématiques. MR 0260238
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 150-152
- MSC (1970): Primary 53C30, 58F05; Secondary 70G05, 70H99
- DOI: https://doi.org/10.1090/S0002-9904-1976-14002-5
- MathSciNet review: 0400305