Four-dimensional almost Kähler locally symmetric spaces
type: Item
instance of: scholarly article
title: Four-dimensional almost Kähler locally symmetric spaces
zbMATH Open document ID: 0864.53034
DOI: 10.1016/0926-2245(96)82420-X
author: Noriko Murakoshi
author: Takashi Oguro
author: Kouei Sekigawa
published in: Differential Geometry and its Applications
publication date: 1996-10-20T00:00:00Z
review text: The Goldberg conjecture states that a compact almost Kähler Einstein space must be Kählerian. Positive answers are known for several special cases but for the general case, a positive answer has not yet been published. In this paper, the authors prove that a four-dimensional compact almost Kähler manifold which is locally symmetric is a Kähler manifold. The proof is a case by case examination of the explicitly known list of all four-dimensional locally symmetric manifolds.
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 937118
zbMATH Keywords: Goldberg conjecture
zbMATH Keywords: four-dimensional compact almost Kähler manifold
zbMATH Keywords: locally symmetric
Wikidata QID: Q115362503
reviewed by: Lieven Vanhecke
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 937118