Abstract
In this paper, we compute precisely Morse indices of iterates of the two closed geodesics on the 2-sphere with Katok's metric. This information is used to give a direct proof for the Poincaré series of the free loop space on S2.
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APA
Long, Y., & Wang, W. (2008). Morse indices of closed geodesics on Katok’s 2-spheres. Advanced Nonlinear Studies, 8(3), 569–572. https://doi.org/10.1515/ans-2008-0304
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