Llarull type theorems for bands in Three and Four dimensions

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 $\hat{I}¼$-bubble method, we develop Llarull type theorems for three and four-dimensional bands with spectral scalar curvature bounds.

18 pages; comments welcom