Quasi-potentials and Kahler-Einstein metrics on flag manifolds, II

Azad, Hassan ; Biswas, Indranil (2003) Quasi-potentials and Kahler-Einstein metrics on flag manifolds, II Journal of Algebra, 269 (2). pp. 480-491. ISSN 0021-8693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00218...

Related URL: http://dx.doi.org/10.1016/S0021-8693(03)00500-3

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 G/P 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.

Item Type:Article
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ID Code:3493
Deposited On:12 Oct 2010 04:29
Last Modified:27 Jan 2011 09:18

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