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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/14155
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 2
social impact