Bulletin of the American Mathematical Society

MathSciNet review: 1567153
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Book Information:

Author: Wilhelm Klingenberg
Title: Lectures on closed geodesics
Additional book information: Die Grundlehren der Math. Wissenschaften, Band 230, Springer-Verlag, Berlin, Heidelberg, New York, 1978, ix + 227 pp.

S. I. Al′ber, On periodicity problems in the calculus of variations in the large. , Amer. Math. Soc. Transl. (2) 14 (1957), 107–172. MR 0113234

S. I. Al′ber, The topology of functional manifolds, and the calculus of variations in the large, Uspehi Mat. Nauk 25 (1970), no. 4 (154), 57–122 (Russian). MR 0279832

I. Berstein and T. Ganea, Homotopical nilpotency, Illinois J. Math. 5 (1961), 99–130. MR 126277

Detlef Gromoll and Wolfgang Meyer, Periodic geodesics on compact riemannian manifolds, J. Differential Geometry 3 (1969), 493–510. MR 264551

J. Milnor, Morse theory, Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. Based on lecture notes by M. Spivak and R. Wells. MR 0163331

Henri Poincaré, Sur les lignes géodésiques des surfaces convexes, Trans. Amer. Math. Soc. 6 (1905), no. 3, 237–274 (French). MR 1500710, DOI 10.1090/S0002-9947-1905-1500710-4

7.

H. Seifert and W. Threlfall, Variationsrechnung im Grossen, Teubner, Leipzig, 1938.

8.

S. Smale, Global variational analysis: Weierstrass integrals on a Riemannian manifold, by Marston Morse, Bull. Amer. Math. Soc. 83 (1977), 683-693.

1.

S. I. Alber, On periodicity problems in the calculus of variations in the large, Uspehi Mat. Nauk 12 (1957), 57-124; English Transl., Amer. Math. Soc. Transl. (2) 14 (1960), 107-172. MR 0113234

2.

S. I. Alber, The topology of functional manifolds and the calculus of variations in the large, Uspehi Mat. Nauk 25 (1970), 57-122 = Russian Math. Surveys 25 (1970), 51-177. MR 279832

3.

I. Berstein and T. Ganea, Homotopical nipotency, Illinois J. Math. 5 (1961), 99-130. MR 126277

4.

D. Gromoll and W. Meyer, Periodic geodesics on compact Riemannian manifolds, J. Differential Geometry 3 (1969), 493-510. MR 264551

5.

J. Milnor, Morse theory, Ann. of Math. Studies, No. 51, Princeton Univ. Press, Princeton, N. J., 1963. MR 163331

6.

H. Poincaré, Sur les lignes géodésiques des surfaces convexes, Trans. Amer. Math. Soc. 6 (1905), 237-274. MR 1500710

7.

H. Seifert and W. Threlfall, Variationsrechnung im Grossen, Teubner, Leipzig, 1938.

8.

S. Smale, Global variational analysis: Weierstrass integrals on a Riemannian manifold, by Marston Morse, Bull. Amer. Math. Soc. 83 (1977), 683-693.