I am trying to find a reference for the following claim, which is probably well-known:

Let $M$ be a closed manifold of dimension $\ge 3$, with negative Ricci curvature. Then every conformal vector field of $M$ is zero.

Any help would be appreciated.

The isometric case follows from Bochner's formula.


This is Theorem 1 of Yano's On Harmonic and Killing Vector Fields.


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