Llarull type theorems for bands in Three and Four dimensions
Differential Geometry
2026-02-26 v1
Abstract
Llarull's theorem asserts that the scalar curvature and the metric on the -sphere cannot be bounded below at the same time by those of the standard -sphere. Using the warped -bubble method, we develop Llarull type theorems for three and four-dimensional bands with spectral scalar curvature bounds.
Cite
@article{arxiv.2602.21813,
title = {Llarull type theorems for bands in Three and Four dimensions},
author = {Xiaoxiang Chai and Xueyuan Wan},
journal= {arXiv preprint arXiv:2602.21813},
year = {2026}
}
Comments
18 pages; comments welcom