Let $(M,g)$ be a complete oriented Riemannian manifold. If $Ric ≥ 0$ on $M$, then any harmonic 1-form $\alpha$ is parallel i.e $x\to |\alpha|^2_{g,x}$ constant?
2026-05-15 23:49:32.1778888972
Harmonic 1-forms on complete non-compact manifolds
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