Author

Dao-Wen Lin

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Preprint Oct 2026

Rigidity of conformal metrics with constant sixth-order $Q$-curvature

Let $(M^n,g_0)$ be a closed connected Einstein manifold with positive scalar curvature, where $n\ge6$. Using an Obata-type identity, we prove that every smooth metric conformal to $g_0$ with constant sixth-order $Q$-curvature is Einstein.

Dao-Wen Lin, Wang-Zhe Wu · 0 citations