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

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

2010-02-20

arxiv.org/abs/1002.3897v1

Mathematics

Differential Geometry

This article is to appear in Bull. Korean Math. Soc. in 2010

Scientific paper

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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