Spectral splitting theorem and ends of minimal hypersurfaces
Differential Geometry
2026-05-15 v1
Abstract
In this paper, we give a new proof of the splitting theorem on manifolds with nonnegative spectral Ricci curvature proved in [APX24, CMMR24, HW26]. Furthermore, by constructing weighted minimizing geodesics at infinity, we show that minimal hypersurfaces with finite index in manifolds with nonnegative biRic curvature must have finite ends, generalizing the result of Li-Wang [LW04] on manifolds with nonnegative sectional curvature.
Keywords
Cite
@article{arxiv.2605.14931,
title = {Spectral splitting theorem and ends of minimal hypersurfaces},
author = {Han Hong and Gaoming Wang},
journal= {arXiv preprint arXiv:2605.14931},
year = {2026}
}
Comments
10 pages. All comments are welcome