Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613847 | Journal of Mathematical Analysis and Applications | 2017 | 9 Pages |
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
Zejun Hu, Dehe Li, Shujie Zhai,