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- W4296645165 abstract "In this paper, we discuss the rigidity of gradient generalized m-quasi-Einstein manifolds and gradient shrinking Ricci solitons. We get some useful equations for the potential function of gradient generalized m-quasi-Einstein manifolds. Using these equations, we obtain some rigid properties for gradient generalized m-quasi-Einstein manifolds. Furthermore, we prove that some complete gradient shrinking Ricci solitons with pinching condition on the Weyl tensor are finite quotients of Rn or Sn." @default.
- W4296645165 created "2022-09-23" @default.
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- W4296645165 date "2023-02-01" @default.
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- W4296645165 title "Rigid properties for gradient generalized m-quasi-Einstein manifolds and gradient shrinking Ricci solitons" @default.
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- W4296645165 doi "https://doi.org/10.1016/j.jmaa.2022.126702" @default.
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