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
Hosseinzadeh,A. A. (2026). On N(k)-quasi Einstein Manifolds Satisfying Some Conditions. Current Applied Sciences, (), 74-79. doi: 10.22034/cas.2026.569904.1058
MLA
Hosseinzadeh,A. A. . "On N(k)-quasi Einstein Manifolds Satisfying Some Conditions", Current Applied Sciences, , , 2026, 74-79. doi: 10.22034/cas.2026.569904.1058
HARVARD
Hosseinzadeh A. A. (2026). 'On N(k)-quasi Einstein Manifolds Satisfying Some Conditions', Current Applied Sciences, (), pp. 74-79. doi: 10.22034/cas.2026.569904.1058
CHICAGO
A. A. Hosseinzadeh, "On N(k)-quasi Einstein Manifolds Satisfying Some Conditions," Current Applied Sciences, (2026): 74-79, doi: 10.22034/cas.2026.569904.1058
VANCOUVER
Hosseinzadeh A. A. On N(k)-quasi Einstein Manifolds Satisfying Some Conditions. Curr. Appl. Sci., 2026; (): 74-79. doi: 10.22034/cas.2026.569904.1058
