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- Title
Some characterizations of Quasi-Einstein and doubly product manifold.
- Authors
Elsayied, H. K.; Tawfiq, A. M.; Elsharkawy, A.
- Abstract
This research paper explores the properties of quasi-Einstein manifolds with a unit concircular generator vector field within doubly warped product structures. The paper begins by investigating the characteristics of quasi-Einstein manifolds that possess a unit concircular generator vector field. Subsequently, it analyzes the behavior of the Hessian, Riemann, and Ricci vector fields in the context of a doubly warped product. Moreover, the impact of the quasi-Einstein condition on both the doubly warped product and its factor manifolds is studied. Finally, conditions are derived to determine whether a doubly warped product satisfying the quasi-Einstein condition can be classified as a warped or a direct product. By presenting these findings, this study contributes to the comprehension of quasi-Einstein manifolds and their interactions within doubly warped product structures.
- Subjects
EINSTEIN, Albert, 1879-1955; EINSTEIN manifolds; VECTOR fields
- Publication
International Journal of Geometric Methods in Modern Physics, 2024, Vol 21, Issue 9, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887824501652