Liouville theorem for quasi-harmonic sphere

Jiayu Li; Linlin Sun

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arXiv · 2609.23359

Liouville theorem for quasi-harmonic sphere

Jiayu Li·Linlin Sun

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Abstract

Let $N$ be a compact Riemannian manifold whose universal covering supports a convex function. We prove that it admits no quasi-harmonic sphere. No global growth condition is imposed on the convex function.

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Jiayu Li, Linlin Sun. 2026-09-20. Liouville theorem for quasi-harmonic sphere. https://arxiv.org/abs/2609.23359

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