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Invariant closed geodesics under isometries of prime power order. (English) Zbl 0426.58007


MSC:

58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable)
53C22 Geodesics in global differential geometry
53C20 Global Riemannian geometry, including pinching
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References:

[1] R. BOTT, On the iteration of closed geodesies and the Sturm intersection theory, Comm. Pure Appl. Math. 9 (1956), 171-206. · Zbl 0074.17202 · doi:10.1002/cpa.3160090204
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[3] D. GROMOLL AND W. MEYEE, Periodic geodesies on compact Riemannian ma nifolds, J. differential Geometry 3 (1969), 493-510. · Zbl 0203.54401
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[5] K. GROVE, Isometry-invariant geodesies, Topology 13 (1974), 281-292 · Zbl 0289.58007 · doi:10.1016/0040-9383(74)90021-4
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[9] M. TANAKA, On invariant closed geodesies under isometries, to appear i Kdai Math. Sem. Rep. · Zbl 0364.58014 · doi:10.2996/kmj/1138847446
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