Cohn-Vossen theory for locally conformally flat manifolds

Shiguang Ma

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arXiv · 2606.13979

Cohn-Vossen theory for locally conformally flat manifolds

Shiguang Ma

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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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Shiguang Ma. 2026-06-11. Cohn-Vossen theory for locally conformally flat manifolds. https://arxiv.org/abs/2606.13979

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