Current Applied Sciences
Interdisciplinary Journal

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

Articles in Press

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

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

Keywords

k-nullity distribution
Quasi Einstein manifold
N(k) -quasi Einstein manifold
W8-curvature tensor
Subjects
Current Applied Sciences

Articles in Press, Accepted Manuscript
Available Online from 20 January 2026

  • Receive Date 31 December 2025
  • Revise Date 15 January 2026
  • Accept Date 16 January 2026

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