Locally Compact Homogeneous Spaces with Inner Metric
Locally Compact Homogeneous Spaces with Inner Metric
The author reviews his results on locally compact homogeneous spaces with inner metric, in particular, homogeneous manifolds with inner metric.The latter are isometric to homogeneous (sub-) Finslerian manifolds; under some additional conditions they are isometric to homogeneous (sub)-Riemannian manifolds.The class Ω of all locally compact homogeneous spaces with inner metric …