Bull. Korean Math. Soc. 2011; 48(2): 335-342
Printed March 1, 2011
https://doi.org/10.4134/BKMS.2011.48.2.335
Copyright © The Korean Mathematical Society.
Keomkyo Seo
Sookmyung Women's University
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.
Keywords: foliation, constant mean curvature, rotationally symmetric hypersurface, product space
MSC numbers: 53A10, 53C42
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