Warped area-minimizing hypersurface and warped product metric
Differential Geometry
2026-03-24 v2
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.
Keywords
Cite
@article{arxiv.2603.12549,
title = {Warped area-minimizing hypersurface and warped product metric},
author = {Yukai Sun},
journal= {arXiv preprint arXiv:2603.12549},
year = {2026}
}
Comments
References updated, Remark 1.5 changed, comments are welcome