Some rigidity phenomena for Einstein metrics

Zhong Min Shen
1990 Proceedings of the American Mathematical Society  
In this note we study the following problem: When must a complete Einstein metric g on an «-manifold with Ric = (n -X)Xg be a constant curvature metric of sectional curvature I ? K _
doi:10.1090/s0002-9939-1990-1007511-2 fatcat:zarkgsw7qzgfnpufq4lxfjuiv4