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 On the solutions of the $(\lambda, n+m)$-Einstein equation Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 1211-1216 https://doi.org/10.4134/BKMS.2014.51.4.1211Printed July 31, 2014 Seungsu Hwang Chung-Ang University Abstract : In this paper, we study the structure of $m$-quasi Einstein manifolds when there exists another distinct solution to the $(\lambda, n+m)$-Einstein equation. In particular, we derive sufficient conditions for the non-existence of such solutions. Keywords : Bakry-Emery Ricci tensor, quasi-Einstein manifolds, the $(\lambda, n+m)$-Einstein equation MSC numbers : Primary 53C21; Secondary 53C25 Downloads: Full-text PDF