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

2010/02/20 by Seo, Keomkyo
#53A10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1002.3897

Abstract

In this paper, we prove that minimal hypersurfaces when n≥ 3 and nonzero constant mean curvature hypersurfaces when n≥2 foliated by spheres in parallel horizontal hyperplanes in ℍⁿ × ℝ must be rotationally symmetric.

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