Quasi-potentials and Kähler-Einstein metrics on flag manifolds
type: Item
instance of: scholarly article
title: Quasi-potentials and Kähler-Einstein metrics on flag manifolds
zbMATH Open document ID: 0934.53042
author: J. Ning
published in: Journal of Algebra
publication date: 2000-04-10T00:00:00Z
review text: The aim of this paper is to prove the following result. Proposition. Let \(G\) be a complex reductive group, \(P\) and \(Q\) parabolic subgroups of \(G\) with \(P\subset Q\), and \(K\) a maximal compact subgroup of \(G\). The \(K\)-invariant Kähler-Einstein metric of \(G/P\) restricted to any fiber of the fibration \(G/P\to G/Q\) is again Kähler-Einstein.
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 14L35
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 1088601
zbMATH Keywords: flag manifold
zbMATH Keywords: invariant Kähler-Einstein metric
zbMATH Keywords: complex reductive group
zbMATH Keywords: parabolic subgroups
MaRDI profile type: Publication
full work available at URL: jabr.1997.7091
OpenAlex ID: W4212933310
cites work: Invariant Kähler-Einstein metrics on compact homogeneous spaces
cites work: Levi-curvature of manifolds with a Stein rational fibration
cites work: Plurisubharmonic functions and Kählerian metrics on complexification of symmetric spaces
cites work: Q4023812
cites work: Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
DOI: 10.1006/JABR.1997.7091
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description: scientific article; zbMATH DE number 1088601