PreprintarXiv licencearXiv
Liouville theorem for quasi-harmonic sphere
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.
Related
- String equation for conformal loop ensemble on Liouville quantum gravity sphere
- Gradient estimates and Liouville theorems for exponentially harmonic functions
- Harmonic Sp(2)-invariant G2-structures on the 7-sphere
- A Liouville Theorem for the Real k-Hessian Equation with a One-Sided Growth Condition
- Liouville Theorem for the Constant Q/R-Curvature Equation
BibTeX
@misc{li2026liouville,
title = {{Liouville theorem for quasi-harmonic sphere}},
author = {Jiayu Li and Linlin Sun},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23359},
eprint = {2609.23359},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23359},
}
RIS
TY - UNPB
TI - Liouville theorem for quasi-harmonic sphere
AU - Jiayu Li
AU - Linlin Sun
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23359
UR - https://arxiv.org/abs/2609.23359
AB - 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.
ER -