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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.06573

Authors: Lin, Daowen, Wu, Wangzhe

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220651690

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