Conformal mappings of generalized quasi-Einstein manifolds admitting special vector fields

  • Santu Dey Bidhan Chandra College
  • Buddhadev Pal Banaras Hindu University
  • Arindam Bhattacharyya Jadavpur University
Keywords: generalized quasi-Einstein manifolds, concircular vector field, Codazzi tensor, conformal mapping, conharmonic mapping

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. After that, we also study some special vector fields under this mapping on these manifolds and some theorems about them are proved.

Published
2020-09-24
How to Cite
Dey, S., Pal, B., & Bhattacharyya, A. (2020). Conformal mappings of generalized quasi-Einstein manifolds admitting special vector fields. Gulf Journal of Mathematics, 9(1). Retrieved from https://gjom.org/index.php/gjom/article/view/449
Section
Articles