Levi-curvature of manifolds with a Stein rational fibration
type: Item
instance of: scholarly article
title: Levi-curvature of manifolds with a Stein rational fibration
zbMATH Open document ID: 0577.32013
DOI: 10.1007/BF01168834
published in: Manuscripta Mathematica
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155057
review text: Let G/H be a homogeneous manifold in which a maximal compact subgroup K of G has real hypersurface orbits. Then it is known that, under some restrictions, G/H fibres over a homogeneous rational manifold G/P with Stein fibre P/H. In this paper a natural exhaustion function for G/H is constructed and the eigenvalues of its Levi form are computed. The proofs relies deeply on the geometry of linear algebraic groups.
Mathematics Subject Classification ID: 32E10
Mathematics Subject Classification ID: 32M10
Mathematics Subject Classification ID: 32L15
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 14M17
zbMATH DE Number: 3923107
zbMATH Keywords: Stein manifold
zbMATH Keywords: homogeneous manifold
zbMATH Keywords: Levi form
author: Hassan Azad
reviewed by: Nicolae Mihalache
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3923107