Spectral splitting theorem and ends of minimal hypersurfaces

Han Hong; Gaoming Wang

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arXiv · 2605.14931

Spectral splitting theorem and ends of minimal hypersurfaces

Han Hong·Gaoming Wang

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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.

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Han Hong, Gaoming Wang. 2026-05-14. Spectral splitting theorem and ends of minimal hypersurfaces. https://arxiv.org/abs/2605.14931

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