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On Generalized Quasi Einstein Manifold Admitting W 2 -Curvature Tensor

Shyamal Kumar Hui, Nikhil Banga, Sikshan Mahavidyalaya, Richard S. Lemence

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Abstract

A new curvature tensor, called W2-curvature tensor, was dened by Pokhariyal and Mishra in [7]. In this paper, we study generalized quasi Einstein manifolds admitting W2-curvature tensor. The existence of such manifolds is ensured by some interesting examples.

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What this paper is about

A new curvature tensor, called W2-curvature tensor, was dened by Pokhariyal and Mishra in [7]. In this paper, we study generalized quasi Einstein manifolds admitting W2-curvature tensor. The existence of such manifolds is ensured by some interesting examples.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A new curvature tensor, called W2-curvature tensor, was dened by Pokhariyal and Mishra in [7]. In this paper, we study generalized quasi Einstein manifolds admitting W2-curvature tensor. The existence of such manifolds is ensured by some interesting examples.

Key concepts: Einstein tensor, Riemann curvature tensor, Ricci decomposition, Curvature, Metric tensor, Einstein, Tensor (intrinsic definition), Manifold (fluid mechanics)

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