The object of the present paper is to study N(k)-quasi Einstein manifolds. We study an N(k)-quasi Einstein manifold satisfying the conditions S.R - 0; R.C - f (Q) over cap (g, C). Next we prove that the curvature condition C.S - 0 holds in an N(k)-quasi Einstein manifold. Then we study an N(k)-quasi Einstein manifold satisfying the condition R.R - f (Q) over cap (S, R). Finally, we construct some examples of N(k)-quasi Einstein manifolds.

AHMET YILDIZ

UDAY CHAND DE

AZIME CETINKAYA

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES

The object of the present paper is to study N(k)-quasi Einstein manifolds. Existence of N(k)-quasi Einstein manifolds are proved. Physical example of N(k)-quasi Einstein manifold is also given. Finally, Weyl-semisymmetric N(k)-quasi Einstein manifolds have been considered. © 2011 The Korean Mathematical Society.

Fulltext

Communications of the Korean Mathematical Society

On a class of N(k)-quasi Einstein manifolds

Colloquium Mathematicum

Weakly conformally symmetric manifolds

ON CONFORMAL AND QUASI-CONFORMAL CURVATURE TENSORS OF AN N(κ)-QUASI EINSTEIN MANIFOLD

Chaos, Solitons & Fractals

On some classes of super quasi-Einstein manifolds

N(k)N(k)-quasi Einstein manifolds satisfying certain conditions

On Some Classes of N(k)-Quasi Einstein Manifolds

Journal	PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
Publisher	NATL ACAD SCIENCES INDIA
ISSN	0369-8203