PROJECTIVE-RECURRENT VIASMAN-GRAY MANIFOLD

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Published: 2016-08-29

Page: 184–191


HABEEB M. ABOOD *

Department of Mathematic, College of Education for Pure Sciences, Basra University, Basra, Iraq

HADEEL G. ABD ALI

Department of Mathematic, College of Education for Pure Sciences, Basra University, Basra, Iraq

*Author to whom correspondence should be addressed.


Abstract

The purpose of this work is to study the geometric properties of projective tensor of Viasman-Gray manifold. The necessary condition that the Viasman-Gray manifold is projective para-kahler manifold has been found. The projective-recurrent Viasman-Gray manifold has been studied, in particular, it has been proved the projective-recurrent Viasman-Gray manifold is either projective symmetrical manifold or it is a locally conformal Kähler manifold. Finally, an application about the projective-recurrent of Viasman-Gray manifold has been given.

Keywords: Almost Hermitian manifold, Viasman-Gray manifold, projective-recurrent tensor


How to Cite

ABOOD, H. M., & ALI, H. G. A. (2016). PROJECTIVE-RECURRENT VIASMAN-GRAY MANIFOLD. Asian Journal of Mathematics and Computer Research, 13(3), 184–191. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/638

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