期刊论文

英文

Journal of Mathematical Analysis and Applications

0022-247X

2023

518

2

126702

10.1016/j.jmaa.2022.126702

This work is supported by the Special Project of Discipline for Hengyang Normal University ( XKZX21002 , KYZX21003 ), Application-oriented Special Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong[2018]469), the Science and Technology Innovation program of Hunan Province ( 2016TP1020 ).

本校为第一机构

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 te...