On the solutions of the $(\lambda, n+m)$-Einstein equation
Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 1211-1216
Printed 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
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