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In differential geometry, Finsler geometry is more general than Riemannian geometry, which has been developed essentially in recent decades. In this paper, some open problems in global Finsler geometry are summarized briefly. Such problems deal with Finsler submanifolds, the curvature and topology of Finsler manifolds, and Finsler-Einstein metrics. Keywords Finsler manifold, isometric immersion, Finsler-Einstein metric MSC(2010) 53C60, 53B40doi:10.1360/n012015-00214 fatcat:jdi6sbbtpvggdjnimpnlckedna