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.