# On a class of three-dimensional trans-sasakian manifolds

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### Cites background from "On a class of three-dimensional tra..."

...De [16], De and Tripathi [17], Shaikh et al....

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7 citations

### Cites background from "On a class of three-dimensional tra..."

...De [16], De and Tripathi [17], Shaikh et al....

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5 citations

##### References

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### Additional excerpts

...3) g(X,φY ) = −g(φX, Y ), g(X, ξ) = η(X) for all X and Y tangent to M ([2], [3])....

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823 citations

### "On a class of three-dimensional tra..." refers background in this paper

...An almost contact metric structure (φ,ξ,η,g) on a connected manifold M is called trans-Sasakian structure [17] if (M × R, J , G) belongs to the class W4 [10], where J is the almost complex structure on M ×R defined by J (...

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...Again in the Gray-Hervella classification of almost Hermite manifolds [10], there appears a class W4 of Hermitian manifolds which are closely related to locally conformally Kähler manifolds....

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331 citations

329 citations

### "On a class of three-dimensional tra..." refers background in this paper

...It is classical that on a 3-dimensional conformally flat Riemannian manifold [19], we have (5....

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