
A result connecting symmetric spaces on one hand and symmetry of Busemann functions and the co-ray relation on the other is proved. This result is applied to hyperbolic and Minkowski geometries.
symmetric space, Direct methods (\(G\)-spaces of Busemann, etc.), Busemann function, G-space, Minkowski geometry, hyperbolic geometry, Differential geometry of symmetric spaces
symmetric space, Direct methods (\(G\)-spaces of Busemann, etc.), Busemann function, G-space, Minkowski geometry, hyperbolic geometry, Differential geometry of symmetric spaces
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