Work

Liouville theorem for quasi-harmonic sphere

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.23359

Authors: Li, Jiayu, Sun, Linlin

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Higher Education Discipline Innovation Project, Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province

Awards: G2150776504, G222581545, G7920131011, G8081541980, G8418242333

OpenAlex ID: W7214011304

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