Multiple closed geodesics on Riemannian 3-spheres |
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| Authors: | Yiming Long Wei Wang |
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| Affiliation: | (1) Chern Institute of Mathematics, Nankai University, Tianjin, 300071, People’s Republic of China;(2) Key Lab of Pure Mathematics and Combinatorics of Ministry of Education, Nankai University, Tianjin, 300071, People’s Republic of China |
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| Abstract: | In this paper, we prove that for every Riemannian Q-homological 3-sphere (M, g) with injectivity radius  and the sectional curvature K satisfying  there exist at least two geometrically distinct closed geodesics. Yiming Long was partially supported by the 973 Program of MOST, Yangzi River Professorship, NNSF, MCME, RFDP, LPMC of MOE of China, S. S. Chern Foundation, and Nankai University. Wei Wang was partially supported by NNSF, RFDP of MOE of China. |
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| Keywords: | 58E10 53C22 37C27 |
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