On Biharmonic Hypersurfaces in Semi-Euclidean Spaces


SEVİNÇ S. , AYDIN ŞEKERCİ G., ÇÖKEN A. C.

6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Budapest, Macaristan, 15 - 17 Ağustos 2017, cilt.1926 identifier identifier

  • Cilt numarası: 1926
  • Doi Numarası: 10.1063/1.5020490
  • Basıldığı Şehir: Budapest
  • Basıldığı Ülke: Macaristan

Özet

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.