References
Ballmann, W., Thorbergsson, G., Ziller, W.: Existence of Closed Geodesics on Positively Curved Manifolds. J. Diff. Geometry18, 221–252 (1983).
Besse, A.L.: Manifolds all of whose Geodesics are Closed. Ergeb. Math. Grenzgeb.93, Berlin-Heidelberg-New York: Springer 1978
Borel, A.: La Cohomologie mod 2 de certains espaces homogénes. Comment. Math. Helv.27, 165–197 (1953)
Borel, A.: Sur la Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compactes. Ann. of Math.57, 115–207 (1953).
Hingston, N.B.: Equivariant Morse Theory and Closed Geodesics. Preprint Philadelphia 1982
Klingenberg, W.: Closed Geodesics. Ann. of Math.89, 68–91 (1969)
Klingenberg, W.: Lectures on Closed Geodesics. Grundlehren Math. Wiss.230, Berlin-Heidelberg-New York: Springer 1978
Klingenberg, W.: Remannian Geometry. De Gruyter Studies in Math.1, Berlin-New York: De Gruyter 1982
Rademacher, H.B.: Geschlossene Geodätische auf Projektiven Räumen. Diplomarbeit, Bonn 1983
Serre, J.P.: Homologie singulière des Espaces fibrés, Applications. Ann. of Math.54, 425–505 (1951)
Spanier, E.H.: Algebraic Topology. New York: McGraw-Hill 1966
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rademacher, HB. On the number of closed geodesics on projective spaces. Math Z 186, 265–271 (1984). https://doi.org/10.1007/BF01161808
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01161808