A compact gradient generalized quasi-Einstein metric with constant scalar curvature

作者：Barros A^*; Gomes J N

来源：Journal of Mathematical Analysis and Applications, 2013, 401(2): 702-705.

DOI：10.1016/j.jmaa.2012.12.068

• Ricci soliton
• Quasi-Einstein metrics
• Bakry-Emery Ricci tensor
• Scalar curvature

In this paper we shall show that a compact gradient generalized m-quasi-Einstein metric (M-n, g, del f, lambda) with constant scalar curvature must be isometric to a standard Euclidean sphere S-n with the potential f well determined.

• 出版日期2013-5