Abstract: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.
Keywords: Finsler space; Randers space; homogeneous geodesic; geodesic graph; g.o.\ space
DOI: DOI 10.14712/1213-7243.2020.023
AMS Subject Classification: 53C22 53C60 53C30