Article ID Journal Published Year Pages File Type
4613847 Journal of Mathematical Analysis and Applications 2017 9 Pages PDF
Abstract

In this paper, we study generalized m  -quasi-Einstein manifold with constant Ricci curvatures. In particular, as the main result we show that for m≠1m≠1 a proper generalized m  -quasi-Einstein manifold with constant Ricci curvatures is Einstein. Consequently for m≠1m≠1 every homogeneous proper generalized m-quasi-Einstein manifold must be Einstein.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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