We prove the existence of rotational hypersurfaces in Hn × R with Hr+1 = 0 (r-minimal hupersurfaces) 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.
Hypersurfaces with Hr+1 = 0 in Hn × R
NELLI, BARBARA;
2016-01-01
Abstract
We prove the existence of rotational hypersurfaces in Hn × R with Hr+1 = 0 (r-minimal hupersurfaces) 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.File in questo prodotto:
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