Quasi-potentials and Kähler–Einstein metrics on flag manifolds, II

For a homogeneous space G/P, where P is a parabolic subgroup of a complex semisimple group G, an explicit Kähler–Einstein metric on it is constructed. The Einstein constant for the metric is 1. Therefore, the intersection number of the first Chern class of the holomorphic tangent bundle of G/P coincides with the volume of G/P with respect to this Kähler–Einstein metric, thus enabling us to compute volume for this metric and for all Kählerian metrics on G/P invariant under the action of a maximal compact subgroup of G.