On the geometry of conharmonic curvtuar tensor of nearly kahler manifold

In this paper we investigated the conharmonic curvature tensor of nearly Kahler manifold. We proved that, any 4-dimensional NK- manifold is conharmonic-parakähler manifold if and only if, it is manifold of zero scalar curvature. Also, it has been proved that, NK- manifold of dimension greater than f...

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Veröffentlicht in:Journal of Basrah Researches : Sciences. 2011, Vol.37 (4C), p.39-48
1. Verfasser: Shihab, Ali A.
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Sprache:eng
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Zusammenfassung:In this paper we investigated the conharmonic curvature tensor of nearly Kahler manifold. We proved that, any 4-dimensional NK- manifold is conharmonic-parakähler manifold if and only if, it is manifold of zero scalar curvature. Also, it has been proved that, NK- manifold of dimension greater than four is conharmonic-parakähler manifold if and only if, it is Ricci-flat Kahler manifold. Finally, we proved that NK- manifold of dimension greater than four is conharmonic flat if and only if, it is locally holomorphically isometric to the complex space supplied with standard Kahler structure.
ISSN:1817-2695