On Generalized Φ- Recurrent of Kenmotsu Type Manifolds

          The present paper studies the generalized Φ-  recurrent of Kenmotsu type manifolds. This is done to determine the components of the covariant derivative of the Riemannian curvature tensor. Moreover, the conditions which make Kenmotsu type manifolds to be locally symmetric or generalized Φ...

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Bibliographic Details
Main Authors: Habeeb M. Abood, Mohammed Y. Abass
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2022-04-01
Series:Baghdad Science Journal
Subjects:
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5291
Description
Summary:          The present paper studies the generalized Φ-  recurrent of Kenmotsu type manifolds. This is done to determine the components of the covariant derivative of the Riemannian curvature tensor. Moreover, the conditions which make Kenmotsu type manifolds to be locally symmetric or generalized Φ- recurrent have been established. It is also concluded that the locally symmetric of Kenmotsu type manifolds are generalized recurrent under suitable condition and vice versa. Furthermore, the study establishes the relationship between the Einstein manifolds and locally symmetric of Kenmotsu type manifolds.
ISSN:2078-8665
2411-7986