Almost Kähler-Einstein structures on 8-dimensional Walker manifolds

DOI10.1007/s00605-006-0403-yzbMath1113.53045OpenAlexW2084539885MaRDI QIDQ870655

Seiya Haze, Yasuo Matsushita, Peter R. Law

Publication date: 13 March 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0403-y

zbMATH Keywords

Einstein metricsalmost Kähler structuresHermitian structures8-di\-men\-si\-o\-nal Walker manifoldsalmost Kähler-Einstein metricscounterexample to Goldberg conjectureKähler-Ein\-stein metricsneutral metrics

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Kähler-Einstein manifolds (32Q20) Almost complex manifolds (32Q60)

Related Items

Unnamed Item ⋮ Almost Kähler Walker 4-manifolds ⋮ Counterexamples to Goldberg Conjecture with Reversed Orientation on Walker 8-Manifolds of Neutral Signature ⋮ Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds ⋮ Unnamed Item ⋮ A spinor approach to Walker geometry ⋮ Hermitian-Walker 4-manifolds ⋮ Compact indefinite almost Kähler Einstein manifolds ⋮ Classification of the Weyl curvature spinors of neutral metrics in four dimensions ⋮ NOTES ON PARA-NORDEN–WALKER 4-MANIFOLDS ⋮ Almost Kähler eight-dimensional Walker manifold

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