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Homogeneous mechanical systems with symmetry, and geometry of the coadjoint action
Author(s):
Ernesto A.
Lacomba
Journal:
Bull. Amer. Math. Soc.
82
(1976),
150-152.
MSC (1970):
Primary 53C30, 58F05;
Secondary 70G05, 70H99
MathSciNet review:
0400305
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Additional information
References:
- 1.
- V. I. Arnol'd, 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), fasc. 1, 319-361. MR 34 #1956. MR 202082
- 2.
- S. Helgason, Differential geometry and symmetric spaces, Pure and Appl. Math., vol. 12, Academic Press, New York, 1962. MR 26 #2986. MR 145455
- 3.
- S. Kobayashi and K. Nomizu, Foundations of differential geometry. Vol. II, Interscience Tracts in Pure and Appl. Math., no. 15, vol. II, Interscience, New York, 1969. MR 38 #6501. MR 238225
- 4.
- E. A. Lacomba, Mechanical systems with symmetry on homogeneous spaces, Trans. Amer. Math. Soc. 185 (1973), 477-491. MR 48 #9759. MR 331426
- 5.
- E. A. Lacomba, Mechanical systems with symmetry on homogeneous spaces, II (to appear). MR 331426
- 6.
- J. Marsden and A. Weinstein, Reduction of symplectic manifolds with symmetry, Reports on Math. Phys. 5 (1974), 121-130. MR 402819
- 7.
- S. Smale, Topology and mechanics. I, Invent. Math. 10 (1970), 305-331. MR 46 #8263. MR 309153
- 8.
- J. M. Souriau, Structure des systèmes dynamiques, Maîtrises de mathématiques, Dunod, Paris, 1970. MR 41 #4866. MR 260238
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14002-5
PII:
S 0002-9904(1976)14002-5
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