On Biharmonic Hypersurfaces in Semi-Euclidean Spaces

Sevinc S., Sekerci G. A., ÇÖKEN A. C.

6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Budapest, Hungary, 15 - 17 August 2017, vol.1926, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1926
  • Doi Number: 10.1063/1.5020490
  • City: Budapest
  • Country: Hungary
  • Akdeniz University Affiliated: Yes

Abstract

In this paper we study biharmonic hypersurfaces of semi-Euclidean spaces. We consider the Chen conjecture which states that the only biharmonic submanifolds of Euclidean spaces are the minimal ones. In particular, we obtain some conditions for biharmonic hypersurfaces in semi-Euclidean spaces. Finally, we give some examples for different conditions.