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《Journal of Chongqing University of Technology(Natural Science)》 2017-08
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A Rigidity Theorems About Finsler Manifolds with Relatively Isotropic Mean Landsberg Curvature

CHENG Xinyue;LIU Shuhua;YIN Li;LI Tingting;College of Science,Chongqing University of Technology;  
In this paper,we study the closed Finsler manifold of relatively isotropic mean Landsberg curvature with J + c(x) FI = 0. We prove that if c(x) is always negative or positive on the manifold,then the Finsler manifold must be Riemannian manifold.
【Fund】: 国家自然科学基金资助项目(11371386)
【CateGory Index】: O186.1
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