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- W1668449267 abstract "A method to generalize results from Riemannian Geometry to Finsler geometry is presented. We use the method to generalize several results that involve only metric conditions. Between them we show that the topology induced by the Finsler structure is equivalent to the manifold topology, we provide a new proof of the Hopf-Rinow theorem in Finsler geometry and we prove the existence of the center of mass of a convex body when the non-symmetric distance function comes from a non-reversible Finsler function." @default.
- W1668449267 created "2016-06-24" @default.
- W1668449267 creator A5043297613 @default.
- W1668449267 date "2005-03-30" @default.
- W1668449267 modified "2023-09-27" @default.
- W1668449267 title "On the generalization of theorems from Riemannian to Finsler Geometry I: Metric Theorems" @default.
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- W1668449267 hasPublicationYear "2005" @default.
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