PreprintarXiv licencearXiv
Rigidity of conformal metrics with constant sixth-order Q-curvature
Abstract
Let (Mn,g0) be a closed connected Einstein manifold with positive scalar curvature, where n≥6. Using an Obata-type identity, we prove that every smooth metric conformal to g0 with constant sixth-order Q-curvature is Einstein.
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BibTeX
@misc{lin2026rigidity,
title = {{Rigidity of conformal metrics with constant sixth-order $Q$-curvature}},
author = {Daowen Lin and Wangzhe Wu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06573},
eprint = {2610.06573},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06573},
}
RIS
TY - UNPB
TI - Rigidity of conformal metrics with constant sixth-order Q-curvature
AU - Daowen Lin
AU - Wangzhe Wu
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06573
UR - https://arxiv.org/abs/2610.06573
AB - Let (M^n,g_0) be a closed connected Einstein manifold with positive scalar curvature, where n≥6. Using an Obata-type identity, we prove that every smooth metric conformal to g_0 with constant sixth-order Q-curvature is Einstein.
ER -