paper

Warped area-minimizing hypersurface and warped product metric

arXiv:2603.12549

Abstract

By studying the warped(or weighted) area-minimizing hypersurface, we prove that the metric can be locally split as a warped product metric under the spectral Ricci or spectral scalar curvature lower bound condition.

References updated, Remark 1.5 changed, comments are welcome