On N(k)-quasi Einstein Manifolds Satisfying Some Conditions

Hosseinzadeh, Ali Akbar

doi:10.22034/cas.2026.569904.1058

On N(k)-quasi Einstein Manifolds Satisfying Some Conditions

Document Type : Original Article

Author

Ali Akbar Hosseinzadeh

Department of Mathematics, Faculty of Science, University of Zabol, Zabol, Iran

https://doi.org/10.22034/cas.2026.569904.1058

Abstract

In this paper, we study -curvature tensor on -quasi Einstein manifolds. The tensor is defined as a modification of the Riemannian curvature tensor involving the Ricci operator. Several of its basic properties are first derived with respect to the structure vector field , the associated 1-form , and the Riemannian metric . Using these relations, we investigate curvature conditions involving . In particular, we consider the condition and . All the results obtained are in the form of necessary and sufficient conditions.
2010 AMS Classification: 53C25

Graphical Abstract