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Geometric and physical characteristics of mixed super quasi-Einstein manifolds. (English) Zbl 1421.83150

Summary: The authors consider a mixed super quasi-Einstein manifold, which is conducive to understanding deeply the global characteristics of the universe including its topology. Firstly, the existence of such manifolds is ensured by an interesting example. Then, the authors determine the curvature characterizations of a class of mixed super quasi-Einstein manifolds. Finally, the present paper depicts a \(W_2\)-conservative characteristic of mixed super quasi-Einstein manifolds associated with a recurrent generator.

MSC:

83F05 Relativistic cosmology
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53A30 Conformal differential geometry (MSC2010)
57N16 Geometric structures on manifolds of high or arbitrary dimension
58A50 Supermanifolds and graded manifolds
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