CONFORMAL MAPPINGS OF GENERALIZED QUASI-EINSTEIN MANIFOLDS ADMITTING SPECIAL VECTOR FIELDS

Abstract

Einstein manifolds form a natural subclass of the class of quasi-Einstein manifolds and plays an important role in geometry as well as in general theory of relativity. In this work, we investigate conformal mappings of generalized quasi-Einstein manifolds. We consider a conformal mapping between two generalized quasi-Einstein manifolds Vn and¯Vn . We also find some properties of this transformation from Vn to¯Vn and some theorems are proved. Considering this mapping, we examine some properties of these manifolds. Af-ter that, we also study some special vector fields under this mapping on these manifolds and some theorems about them are proved. © 2020, Canadian University of Dubai. All rights reserved.