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Investigation of some conditions on \(N(k)\)-quasi Einstein manifolds. (English) Zbl 1232.53041

A locally-symmetric type condition but with the usual curvature tensor field replaced by other curvature fields (conharmonic, projective and pseudo-projective) is analyzed in \(N(k)\)-quasi Einstein geometry. Although two examples of perfect fluid space-times are presented at the beginning, the above geometrical conditions and their possible (physical) consequences are not discussed for these examples.
Reviewer: Radu Miron (Iaşi)

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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