Maximally mobile Davies metric spaces

The spaces whose linear elements are given by a homogeneous function of degree two with respect to the direction arguments are studied. The maximal order of the group of motionsG _r (r=n(n–1)/2+2) in Davies spaces is determined. A tensor characterization of maximally mobile spaces is given.Translated from Ukrainskií Geometricheskií Sbornik, Issue 29, 1986, pp. 47–54.