On Generalized Recurrent and Generalized Concircularly Recurrent Weyl Manifolds

Abstract

In the present work, generalized recurrent and generalized concircularly recurrent Weyl manifolds are examined. We define nearly quasi-Einstein Weyl manifolds and we proved that if a generalized recurrent or generalized concircularly recurrent Weyl manifold admits a special concircular vector field, then the manifold reduces to a nearly quasi-Einstein Weyl manifold. Also, some other results are presented.

Keywords

• generalized recurrent weyl manifold
• generalized concircularly recurrent weyl manifold
• nearly quasi-einstein weyl manifold