【摘 要】
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Recently we have generalized the common index jump theorem proved in 2002 by Long and Zhu to an enhanced version.As applications,we obtained the lower bound
【机 构】
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NankaiUniversity,P.R.China
论文部分内容阅读
Recently we have generalized the common index jump theorem proved in 2002 by Long and Zhu to an enhanced version.As applications,we obtained the lower bounds of the total number of distinct closed geodesics on every compact simply-connected rank one symmetric space with a bumpy irreversible Finsler metric under some weak index or curvature conditions,and also got the non-hyperbolicity of these closed geodesics.All these lower bounds are sharp due to Katoks examples on spheres and Zillers detailed constructions on other rank one symmetric spaces.This is a joint work with Yiming Long and Wei Wang.
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