PreprintCC BYarXiv (Cornell University)
Cohn-Vossen theory for locally conformally flat manifolds
Abstract
We establish a refined singularity estimate for nonnegative n-superharmonic functions. For complete noncompact locally conformally flat manifolds with nonnegative Ricci curvature, we analytically characterize the volume growth, verify Yau's conjecture on the Cohn-Vossen inequality, and prove a sharp gap theorem that removes all auxiliary assumptions from earlier works.
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BibTeX
@misc{ma2026cohnvossen,
title = {{Cohn-Vossen theory for locally conformally flat manifolds}},
author = {Shiguang Ma},
howpublished = {arXiv (Cornell University)},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.13979},
url = {https://arxiv.org/abs/2606.13979},
note = {CC BY},
}
RIS
TY - UNPB
TI - Cohn-Vossen theory for locally conformally flat manifolds
AU - Shiguang Ma
PY - 2026
DA - 2026/06/11
PB - arXiv (Cornell University)
DO - 10.48550/arxiv.2606.13979
UR - https://arxiv.org/abs/2606.13979
AB - We establish a refined singularity estimate for nonnegative n-superharmonic functions. For complete noncompact locally conformally flat manifolds with nonnegative Ricci curvature, we analytically characterize the volume growth, verify Yau's conjecture on the Cohn-Vossen inequality, and prove a sharp gap theorem that removes all auxiliary assumptions from earlier works.
SN - 2331-8422
ER -