Title of article :
Mixed Generalized Quasi-Einstein Warped Product Manifolds
Author/Authors :
De ، Uday Chand Department of Pure Mathematics - Faculty of Science - University of Calcutta , El-Sayied ، H. K. Department of Mathematics - Faculty of Science - Tanata University , Syied ، Noha Department of Mathematics - Faculty of Science - Modern Academy for engineering and Technology , Shenawy ، Sameh Department of Mathematics - Faculty of Science - Modern Academy for engineering and Technology
Abstract :
In this paper, warped product mixed generalized quasi-Einstein manifolds MG(QE)n are studied. It is shown that a Ricci recurrent MG(QE)n manifold is a product manifold whose factors are Ricci recurrent. Sufficient conditions for a MG(QE)n to be aG(QE)n are derived. Then, we classify three types of warped product MG(QE)n. For example, it is proved that the fiber manifold is Einstein in the first type, (QE)n in the second type and MG(QE)n in the third type.
Keywords :
Warped product manifold , Einstein manifold , Quasi , Einstein manifold
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
