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arXiv · 2610.06573

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

Daowen Lin·Wangzhe Wu
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Abstract

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.

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Daowen Lin, Wangzhe Wu. 2026-10-05. Rigidity of conformal metrics with constant sixth-order $Q$-curvature. https://arxiv.org/abs/2610.06573

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