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Shaikh, Absos Ali

On pseudo quasi-Einstein manifolds. (English) Zbl 1224.53029

Period. Math. Hung. 59, No. 2, 119-146 (2009).
A type of non-flat semi-Riemannian manifolds, called pseudo quasi-Einstein manifold, is introduced and studied in detail. The quasi-Einstein manifolds are well-known, and are relevant in general relativity: Robertson-Walker spacetimes belong to this class. Presenting a number of non-trivial examples, the author demonstrates that the more general new class does exist and noteworthy.
Reviewer: József Szilasi (Debrecen)

Cited in 26 Documents

MSC:

53B05 Linear and affine connections
53B15 Other connections
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

Keywords:

pseudo quasi-Einstein manifold; pseudo quasi-constant curvature; conformally flat; Killing vector field
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\textit{A. A. Shaikh}, Period. Math. Hung. 59, No. 2, 119--146 (2009; Zbl 1224.53029)
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References:

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