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arXiv · 2607.27444

Minimal hypersurfaces of Morse index one

Otis Chodosh·Matilde Gianocca
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Abstract

We prove that a complete, connected, embedded, minimal hypersurface in $\mathbb{R}^{n+1}$ with finite total curvature and Morse index one is the higher-dimensional catenoid.

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Otis Chodosh, Matilde Gianocca. 2026-07-29. Minimal hypersurfaces of Morse index one. https://arxiv.org/abs/2607.27444

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