On Geometry of Viasman-Gray Manifold | ||
| Journal of Kufa for Mathematics and Computer | ||
| Article 1, Volume 2, Issue 1, April 2015, Pages 56-63 | ||
| Authors | ||
| Habeeb M. Abood; | ||
| Abstract | ||
| In this paper, we studied the geometric structure of one important class of almost Hermitian manifold which is called Viasman-Gray manifold. This manifold is a generalization of the classes nearly Kahler manifold and the locally conformal Kahler manifold. We provedthat, if MisViasman-Gray manifold with flat conformal curvature tensor, then M is a manifold of class R_1if and only if,Mis a manifold of flat Ricci tensor. The necessary condition that M is of zero scalar curvature tensor has been found. Finally, we proved that,ifM is VG-manifold of class W_1 and of flat Ricci tensor then MisKahler manifold. | ||
| Keywords | ||
| Almost Hermitian manifold; Viasman; Graymanifold; conformalcurvature tensor | ||
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