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Abstract : |
For a homogeneous space G/P, where P is a parabolic subgroup of a complex semisimple group G, an explicit Kahler-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 GIP coincides with the volume of G/P with respect to this Kahler-Einstein metric, thus enabling us to compute volume for this metric and for all Kahlerian metrics on G/P invariant under the action of a maximal compact subgroup of G. (C) 2003 Elsevier Inc. All rights reserved., |
