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arXiv · 1405.3855

Minimal hypersurfaces in R^n \times S^m

Jimmy Petean·Juan Miguel Ruiz
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Abstract

We classify minimal hypersurfaces in $R^n \times S^m$, $n,m \geq 2$, which are invariant by the canonical action of $O(n) \times O(m)$. We also construct compact and noncompact examples of invariant hypersurfaces of constant mean curvature. We show that the minimal hypersurfaces and the noncompact constant mean curvature hypersurfaces are all unstable.

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Jimmy Petean, Juan Miguel Ruiz. 2014-05-15. Minimal hypersurfaces in R^n \times S^m. https://arxiv.org/abs/1405.3855

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