On the number of invariant closed geodesics
Authors:
Karsten Grove and Minoru Tanaka
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
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Raoul Bott, On the iteration of closed geodesics and the Sturm intersection theory, Comm. Pure Appl. Math. 9 (1956), 171–206. MR 90730, DOI https://doi.org/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 https://doi.org/10.1016/0040-9383%2869%2990022-6
- 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 https://doi.org/10.1016/0040-9383%2874%2990021-4
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