We give a shorter proof of the existence of nontrivial closed minimal hypersurfaces in closed smooth (n + 1)-dimensional Riemannian manifolds, a theorem proved first by Pitts for 2 <= n <= 5 and extended later by Schoen and Simon to any n .

The existence of embedded minimal hypersurfaces

De Lellis, C.;
2013-01-01

Abstract

We give a shorter proof of the existence of nontrivial closed minimal hypersurfaces in closed smooth (n + 1)-dimensional Riemannian manifolds, a theorem proved first by Pitts for 2 <= n <= 5 and extended later by Schoen and Simon to any n .
File in questo prodotto:
File Dimensione Formato  
2013_JDifferentialGeom_95_DeLellis.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non pubblico
Dimensione 333.2 kB
Formato Adobe PDF
333.2 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

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/20.500.12571/40184
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 35
  • ???jsp.display-item.citation.isi??? 34
social impact