Some examples of almost Kähler 4-manifolds (Q2703571)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some examples of almost Kähler 4-manifolds |
scientific article |
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7 March 2001
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almost Kähler manifold
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pointwise constant holomorphic sectional curvature
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weakly \(\ast \)-Einstein manifold
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Ricci curvature
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Ricci flat manifold
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0.9329661
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0.92255706
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0.9139073
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0.9020726
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0.9014032
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0.90091574
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0.90018594
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0.8968984
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Some examples of almost Kähler 4-manifolds (English)
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A family of Ricci flat almost Kähler manifolds is constructed. This family involves also some known examples of strictly almost Kähler Ricci flat manifolds as well as some almost Kähler manifolds with pointwise constant holomorphic sectional curvature. These examples are also weakly \(\ast \)-Einstein, but not Einstein. The author shows that there are other examples of weakly \(\ast \)-Einstein almost Kähler manifolds. All these examples are 4-dimensional and non-compact.
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