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Book Review
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Book Information
Author(s):
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.
References:
- 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 113234
- 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.
Additional Information:
Reviewer(s):
Leon
Green
Review Information:
Journal:
Bull. Amer. Math. Soc.
1
(1979),
568-570.
DOI:
10.1090/S0273-0979-1979-14626-3
PII:
S 0273-0979(1979)14626-3
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