References
Anosov, D.V.: Certain homotopies in the space of closed curves. Izv. Akad. Nauk SSSR44, 1219–1254 (1980) (Russian)=Math. USSR Izv.17, 423–353 (1981)
Anosov, D.V.: Some homology classes in the space of closed curves in then-dimensional sphere. Izv. Akad. Nauk SSSR45, 467–490 (1981) (Russian)=Math. USSR Izv.18, 403–422 (1982)
Ballmann, W.: Über geschlossene Geodätische. Habilitationschrift. Univ. Bonn 1983
Bredon, G.: Introduction to compact transformation groups. New York, London: Academic Press 1972
Hingston, N.: Equivariant morse theory and closed geodesics. J. Differ. Geom.19, 85–116 (1984)
Illman, S.: Equivariant singular homology and cohomology for actions of compact Lie groups. Proc. of 2nd. conf. on cpt. transf. groups. Springer Lect. Notes Math.298, 401–415 (1972)
Illman, S.: Equivariant algebraic topology. Thesis. Princeton Univ. 1972
Klingenberg, W.: Lectures on closed geodesics. Grundlehren Math. Wiss.230. Berlin Heidelberg New York: Springer 1978
Klingenberg, W.: Closed geodesics on Riemannian manifolds. Conf. board of the math. sciences. Reg. conf. series in math. 53. Amer. Math. Soc. Providence 1983
Matumoto, T.: EquivariantK-theory and Fredholm operators. J. Fac. Sci. Univ. Tokyo Sect. IA18, 109–112 (1971)
Matumoto, T.: OnG-CW complexes and a theorem of J.H.C. Whitehead. J. Fac. Sci. Univ. Tokyo Sect. IA18, 363–374 (1971)
Milnor, J.: Morse theory (3rd ed.) Ann. Math. Studies 51. Princeton: Univ. Press 1969
Milnor, J.: Lectures on theh-cobordism theorem. Princeton Math. Notes. Princeton: Univ. Press 1965
Peng, X.W.: On the Morse complex. Math. Z.187, 86–96 (1984)
Rademacher, H.B.: Der Äquivariante Morse-Kettenkomplex des Raums der geschlossenen Kurven. Bonner Math. Schriften178 (1987)
Rademacher, H.B.: On the average indices of closed geodesics. To appear in: J. Differ. Geom.28 (1988)
Spanier, E.: Algebraic topology. New York: McGraw Hill 1966
Svarc, A.S.: Homology of the space of closed curves. Trudy Moskov Math. Obsc.9, 3–44 (1960) (Russian)
Wolter, T.: Der Morsekomplex für nicht-degenerierte kritische Untermannigfaltigkeiten. Diplomarbeit. Univ. Bonn 1986
Ziller, W.: The free loop space of globally symmetric spaces. Invent. Math.41, 1–22 (1977)
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Rademacher, HB. On the equivariant morse chain complex of the space of closed curves. Math Z 201, 279–302 (1989). https://doi.org/10.1007/BF01160683
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DOI: https://doi.org/10.1007/BF01160683