Some rigidity phenomena for Einstein metrics

Shen, Zhong Min

doi:10.1090/S0002-9939-1990-1007511-2

Some rigidity phenomena for Einstein metrics
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Proc. Amer. Math. Soc. 108 (1990), 981-987 Request permission

Abstract:

In this note we study the following problem: When must a complete Einstein metric $g$ on an $n$-manifold with ${\text {Ric = }}(n - 1)\lambda g$ be a constant curvature metric of sectional curvature $\lambda$?

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