4-dimensional anti-Kähler manifolds and Weyl curvature |
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| Authors: | Jaeman Kim |
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| Affiliation: | (1) Department of Mathematics Education, Chunchon, Kangwon National University, 200-701 Kangwon Do, Korea |
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| Abstract: | On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat. |
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| Keywords: | 4-dimensional anti-K?hler manifold zero scalar curvature Weyl curvature flat |
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