PROJECTIVE-RECURRENT VIASMAN-GRAY MANIFOLD

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.