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On the number of invariant closed geodesics

On the number of invariant closed geodesics

KARSTEN GROVE University of Copenhagen Denmark BY and MINORU TANAKA Tokyo [nsthute of Technology Japan The study of closed (periodic) geodesics has a long and rich history. After Fet and Lyusternik [2] in 1951 proved that any compact riemannian manifold has at least one closed geodesic, the most outstanding problem …