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 |
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Format: | Artikel |
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. |
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ISSN: | 1817-2695 |