Geodesic
Topology and mechanics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 2 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{RM_1972_27_2_a7,
     author = {S. Smale},
     title = {Topology and mechanics},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     year = {1972},
     volume = {27},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/RM_1972_27_2_a7/}
}
TY  - JOUR
AU  - S. Smale
TI  - Topology and mechanics
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 1972
VL  - 27
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/RM_1972_27_2_a7/
LA  - ru
ID  - RM_1972_27_2_a7
ER  - 
%0 Journal Article
%A S. Smale
%T Topology and mechanics
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 1972
%V 27
%N 2
%U http://geodesic.mathdoc.fr/item/RM_1972_27_2_a7/
%G ru
%F RM_1972_27_2_a7
S. Smale. Topology and mechanics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 2. http://geodesic.mathdoc.fr/item/RM_1972_27_2_a7/

[1] R. Abraham, Foundations of Mechanics, New York, 1967

[2] R. Abraham, J. Robbin, Transversal Mappings and Flows, New York, 1967 | MR

[3] V. I. Arnold, “Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications a l'hydrodynamique de fluides parfaits”, Ann. de l'Inst. Fourier, Grenoble, 16 (1966), 319–361 | MR

[4] V. I. Arnold, A. Avez, Problemès ergodiquies de la mécanique classique, Hermann, Paris, 1967 | MR

[5] Dzh. D. Birkgof, Dinamicheskie sistemy, Gostekhizdat, M.–L., 1941

[6] R. Bott, “Non-degenerate critical manifolds”, Ann. of Math., 60 (1954), 248–261 | DOI | MR | Zbl

[7] E. Cartan, Leçons sur les invariants intégraux, Paris, 1958; первое издание, 1921; E. Kartan, Integralnye invarianty, Gostekhizdat, M.–L., 1941

[8] E. Koddington, N. Levinson, Teoriya obyknovennykh differentsialnykh uravnenii, IL, M., 1958

[9] C. Godbillion, Géométrie différentielle et mécanique analytique, Hermann, Paris, 1969 | MR

[10] G. Goldstein, Klassicheskaya mekhanika, Gostekhizdat, M., 1957

[11] R. Hermann, Differential geometry and the calculus of variations, Academic Press, New York, 1968 | MR | Zbl

[12] W. Kaplan, “Topology of the two-body problem”, Amer. Math. Monthly, 49 (1942), 316–323 | DOI | MR

[13] L. Loomis, S. Sternberg, Advanced Calculus, Addison-Wesley, Reading, Mass., 1968 | MR | Zbl

[14] W. Loud, Periodic solutions of perturbed second-order autonomous equations, Mem. Amer. Math. Soc., 47, Providence, R. I., 1964 | MR | Zbl

[15] K. Nomidzu, Gruppy Li i differentsialnaya geometriya, IL, M., 1960

[16] R. Palais, “Morse Theory on Hilbert manifolds”, Topology, 2 (1963), 299–340 | DOI | MR | Zbl

[17] J. Schwartz, “Generalizing the Lusternic - Schnirelmann - theory of critical points”, Comm. Pure Appl. Math., 17 (1964), 307–315 | DOI | MR | Zbl

[18] S. Smale, “Morse Theory and a non-linear generalization of the Dirichlet problem”, Ann. of Math., 80 (1964), 382–396 | DOI | MR | Zbl

[19] D. Struik, Lectures on Classical Differential Geometry, Addison - Wesley, Cambridge, Mass., 1950 | MR | Zbl

[20] A. Wasserman, “Equivariant differential topology”, Topology, 8 (1969), 127–150 | DOI | MR | Zbl

[21] A. Uintner, Analiticheskie osnovy nebesnoi mekhaniki, «Nauka», M., 1967

[22] F. R. Moulton, “The straight line solutions of the problem of $N$ bodies”, Annals. of Math., 12 (1910), 1–17 | DOI | MR | Zbl

[23] V. I. Arnold, Lektsii po klassicheskoi mekhanike, MGU, M., 1968 | MR

[24] O. Staude, “Über permanente Rotations axen bei der Bewegung eines schweren Könpers um einen festen Punkt”, J. f. Reine u Angew. Math., 113 (1894), 318–334