Delaunay hypersurfaces in spheres

Yongsheng Zhang

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arXiv · 2401.16300

Delaunay hypersurfaces in spheres

Yongsheng Zhang

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Abstract

We study Delaunay hypersurfaces in $\mathbb S^n$ with $n\geq 3$ and add a missing (flower) type of the category. Moreover, embedded Delaunay hypersurfaces of nonzero constant mean curvatures in $\mathbb S^n$ are found.

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Yongsheng Zhang. 2024-01-29. Delaunay hypersurfaces in spheres. https://arxiv.org/abs/2401.16300

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