Non-hyperbolic closed geodesics on positively curved Finsler manifolds

来源 :2016年非线性偏微分方程和变分方法及其应用研讨会(Workshop on Nonlinear PDEs and Cal | 被引量 : 0次 | 上传用户:yangyuxxxx
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  Recently we have obtained the lower bounds of the total number of distinct closed geodesics on every compact simply-connected bumpy even dimensional Finsler manifold with non-negative flag curvature and odd dimensional Finsler manifold with pinching conditions on the flag curvature, and also got the non-hyperbolicity of these closed geodesics. All these lower bounds are sharp due to Katok-Ziller examples. This is a joint work with Yiming Long and Wei Wang.
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