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arXiv · 2602.21813

Llarull type theorems for bands in Three and Four dimensions

Xiaoxiang Chai·Xueyuan Wan
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Abstract

Llarull's theorem asserts that the scalar curvature and the metric on the $n$-sphere cannot be bounded below at the same time by those of the standard $n$-sphere. Using the warped $\mu$-bubble method, we develop Llarull type theorems for three and four-dimensional bands with spectral scalar curvature bounds.

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Xiaoxiang Chai, Xueyuan Wan. 2026-02-25. Llarull type theorems for bands in Three and Four dimensions. https://arxiv.org/abs/2602.21813

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