Examples of compact Einstein Kähler manifolds with positive Ricci tensor
type: Item
instance of: scholarly article
title: Examples of compact Einstein Kähler manifolds with positive Ricci tensor
zbMATH Open document ID: 0636.53068
author: Yusuke Sakane
published in: Osaka Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The author establishes the existence of cohomogeneity-one Kähler- Einstein metrics on certain holomorphic bundles of complex projective lines over products of two irreducible Hermitian symmetric spaces of compact type. The argument also yields numerous examples of compact complex manifolds with positive first Chern class, not admitting any Kähler-Einstein metric.
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 32Q99
zbMATH DE Number: 4036675
zbMATH Keywords: cohomogeneity-one Kähler-Einstein metrics
zbMATH Keywords: holomorphic bundles
zbMATH Keywords: Hermitian symmetric spaces
reviewed by: Andrzej Derdzinski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4036675