On the number of invariant closed geodesics
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- by Karsten Grove and Minoru Tanaka PDF
- Bull. Amer. Math. Soc. 82 (1976), 497-498
References
- Raoul Bott, On the iteration of closed geodesics and the Sturm intersection theory, Comm. Pure Appl. Math. 9 (1956), 171–206. MR 90730, DOI 10.1002/cpa.3160090204
- Detlef Gromoll and Wolfgang Meyer, Periodic geodesics on compact riemannian manifolds, J. Differential Geometry 3 (1969), 493–510. MR 264551
- Detlef Gromoll and Wolfgang Meyer, On differentiable functions with isolated critical points, Topology 8 (1969), 361–369. MR 246329, DOI 10.1016/0040-9383(69)90022-6
- Karsten Grove, Condition $(C)$ for the energy integral on certain path spaces and applications to the theory of geodesics, J. Differential Geometry 8 (1973), 207–223. MR 339270
- Karsten Grove, Isometry-invariant geodesics, Topology 13 (1974), 281–292. MR 370651, DOI 10.1016/0040-9383(74)90021-4
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 497-498
- MSC (1970): Primary 58E10; Secondary 53C20
- DOI: https://doi.org/10.1090/S0002-9904-1976-14072-4
- MathSciNet review: 0402810