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On the number of invariant closed geodesics
Author(s):
Karsten
Grove;
Minoru
Tanaka
Journal:
Bull. Amer. Math. Soc.
82
(1976),
497-498.
MSC (1970):
Primary 58E10;
Secondary 53C20
MathSciNet review:
0402810
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References |
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Additional information
References:
- 1.
- R. Bott, On the iteration of closed geodesics and the Sturm intersection theory, Comm. Pure Appl. Math. 9 (1956), 171-206. MR 19, 859. MR 90730
- 2.
- D. Gromoll and W. Meyer, Periodic geodesics on compact Riemannian manifolds, J. Differential Geometry 3 (1969), 493-510. MR 41 #9143. MR 264551
- 3.
- D. Gromoll and W. Meyer, On differentiable functions with isolated critical points, Topology 8 (1969), 361-369. MR 39 #7633. MR 246329
- 4.
- K. 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 49 #4030. MR 339270
- 5.
- K. Grove, Isometry-Invariant geodesics, Topology 13 (1974), 281-292. MR 370651
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14072-4
PII:
S 0002-9904(1976)14072-4
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