Multiple Closed Geodesics on Positively Curved Finsler Manifolds
In this paper, we prove that on every Finsler manifold (M,F){(M,F)} with reversibility λ and flag curvature K satisfying (λλ+1)2<K≤1{(\frac{\lambda}{\lambda+1})^{2}<K\leq 1}, there exist [dimM+12]{[\frac{\dim M+1}{2}]} closed geodesics. If the number of closed geodesics is finite, then there...
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-08-01
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| Series: | Advanced Nonlinear Studies |
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| Online Access: | https://doi.org/10.1515/ans-2019-2043 |