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Hypersurfaces with H_{r+1}=0 in H x R
Published 25 Mar 2015 in math.DG | (1503.07489v2)
Abstract: We prove the existence of rotational hypersurfaces in $\mathbb{H}n\times \mathbb{R}$ with $H_{r+1}=0$ and we classify them. Then we prove some uniqueness theorems for $r$-minimal hypersurfaces with a given (finite or asymptotic) boundary. In particular, we obtain a Schoen-type Theorem for two ended complete hypersurfaces.
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