Closed geodesics on Finsler manifolds

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1. ALBER, S. I., On periodicity problems in the calculus of variations in the large, «Amer. Math. Soc. Transl.», 14 (2) (1960), 107-172. MR113234
2. ABRAHAM, R. and MARSDEN, J., Foundation of Mechanics, Benjamin, New York and Amsterdam, 1967. MR515141
3. BOREL, A., Seminar on transformation groups, «Ann. of Math. Studies», n. 46, Princeton Unyversity press, Princeton, N.J., 1960. MR116341
4. BUSEMAN, H., The geometry of geodesics, Acad. Press, New York, 1955. Zbl0029.35803MR75623
5. BUSEMAN, H. and MAYER, W., On the foundation of calculus of variations, «Ann. of Math.», 49 (1941), 173-198. MR3475DOI10.2307/1990020
6. CULTER, W. H., Negligible subsets of infinite dimensional Frechet manifolds, «Proc. Amer. Math. Soc.», 23 (1969), 668-675. MR248883DOI10.2307/2036608
7. ELLIASON, H., On the geometry of manifolds of maps, «J. of Diff. Geometry», 1 (1967), 156-194. MR226681
8. ELLIASON, H., Morse theory for closed curves, Symposium in inf. dim. topology, Ann. of Math. Studies, n. 69, Princeton University Press, Princeton, N. J., 1972, 63-77. MR407889
9. FET, A. I., Variational problems on closed manifolds, «Amer. Math. Soc. Transl.», 90 (1953), 147-206. MR56214
10. GROMOLL, D. and MEYER, W., Periodic geodesics on compact riemannian manifolds, «J. of Diff. Geometry», 3 (1969), 493-510. Zbl0203.54401MR264551
11. KLINGENBERG, W., The theorem of the three closed geodesics, «Bull. Amer. Math. Soc.», 71 (1965), 605-610. Zbl0129.35903MR177374DOI10.1090/S0002-9904-1965-11353-2
12. KLINGENBERG, W., The space of closed curves on the sphere, «Topology», 7 (1968), 395-415. Zbl0174.55102MR236957DOI10.1016/0040-9383(68)90015-3
13. KLINGENBERG, W., Closed geodesics, «Ann. of Math.», 89 (1969), 68-91. Zbl0172.46503MR239624DOI10.2307/1970809
14. KLINGENBERG, W., Lecture on closed geodesics (to appear). Zbl0397.58018MR688143
15. MERCURI, F., Closed geodesics on Finsler manifolds, «Doctoral diss.», University of Chicago, 1975. MR2611734
16. MILNOR, J., Morse theory, «Ann. Math. Studies», n. 51, Princeton University Press, Princeton, N. J., 1963. MR163331
17. MORSE, M., The calculus of variations in the large, «Amer. Math. Soc. Colloq. Publ.», 18, 1934. Zbl0011.02802MR1451874
18. PALAIS, R., Morse theory on Hilbert manifolds, Topology2 (1963), 299-340. Zbl0122.10702MR158410DOI10.1016/0040-9383(63)90013-2
19. PALAIS, R., Liusternik-Schnirelman theory on Banach manifolds, Topology5 (1966), 115-132. Zbl0143.35203MR259955DOI10.1016/0040-9383(66)90013-9
20. PALAIS, R., Foundation of global non-linear analysis, Benjamin, New York, 1968. Zbl0164.11102MR248880
21. PALAIS, R. and SMALE, S., A generalized Morse theory, «Bull. Amer. Math. Soc.», 70 (1964), 165-172. Zbl0119.09201MR158411DOI10.1090/S0002-9904-1964-11062-4
22. RUND, H., The differential geometry of Finsler spaces, Springer-Verlag, Berlin-Gottingen-Heidelberg, 1959. Zbl0087.36604MR105726
23. SEGRE, B., Geometria non euclidea ed ottica geometrica, I, «Rend Acc. Naz. dei Lincei», serie (8) 7 (1949), 16-19. MR35503
24. SPANIER, E., Algebraic topology, McGraw Hill, New York, 1966. MR210112
25. STEMBERG, S., Lecture on differential geometry, Prentice Hall, Englewood Cliffs, N. J., 1964. MR193578
26. SULLIVAN, S., Differential forms and the topology of manifolds, Proceedings of the Japan conference on manifolds, 1973. 
27. SULLIVAN, D. and VIGUE-PORRIER, M., The homology theory of the closed geodesics problem, Preprint I.H.E.S. MR455028
28. WARNER, F., The conjugate locus of a riemannian manifold, «Amer. J. of Math.», 87 (1965), 575-604. Zbl0129.36002MR208534DOI10.2307/2373064