Article
Kyungpook Mathematical Journal 2020; 60(4): 805-819
Published online December 31, 2020
Copyright © Kyungpook Mathematical Journal.
η-Einstein Solitons on (ε)-Kenmotsu Manifolds
Mohd Danish Siddiqi*, Sudhakar Kumar Chaubey
Department of Mathematics, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia
e-mail : msiddiqi@jazanu.edu.sa
Section of Mathematics, Department of Information Technology, Shinas College of Technology, Shinas, P. O. Box 77, Postal Code 324, Oman
e-mail : sudhakar.chaubey@shct.edu.om
Received: October 9, 2019; Revised: June 26, 2020; Accepted: June 29, 2020
The objective of this study is to investigate η-Einstein solitons on (ε)-Kenmotsu manifolds when the Weyl-conformal curvature tensor satisfies some geometric properties such as being flat, semi-symmetric and Einstein semi-symmetric. Here, we discuss the properties of η-Einstein solitons on ⊎-symmetric (ε)-Kenmotsu manifolds.
Keywords: (ε)-Kenmotsu manifold, η-Einstein solitons, Weyl-conformal curvature, Einstein manifold