Article ID Journal Published Year Pages File Type
4614688 Journal of Mathematical Analysis and Applications 2015 11 Pages PDF
Abstract

We study generalized m-quasi-Einstein manifolds with constant scalar curvature. First, we establish a classification of generalized m-quasi-Einstein manifolds with parallel Ricci tensor. Second, and particularly, if an m-quasi-Einstein manifold possesses constant scalar curvature then we determine the scalar curvature in explicit form and show that which values are attainable by presenting examples.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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