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Keywords:
Finsler space; Randers space; homogeneous geodesic; geodesic graph; g.o. space
Finsler space; Randers space; homogeneous geodesic; geodesic graph; g.o. space
Summary:
The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modified H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o. metrics are determined and geodesic graphs in these Finsler g.o. manifolds are constructed. New structures of geodesic graphs are observed.
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