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arXiv · 1002.3897

Sphere-foliated minimal and constant mean curvature hypersurfaces in product spaces

Keomkyo Seo
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Abstract

In this paper, we prove that minimal hypersurfaces when $n\geq 3$ and nonzero constant mean curvature hypersurfaces when $n\geq2$ foliated by spheres in parallel horizontal hyperplanes in ${\mathbb{H}}^n \times \mathbb{R}$ must be rotationally symmetric.

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Keomkyo Seo. 2010-02-20. Sphere-foliated minimal and constant mean curvature hypersurfaces in product spaces. https://arxiv.org/abs/1002.3897

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