Öz
In this paper we study hypersurfaces with the mean curvature function
H satisfying $\langle \nabla H, \nabla H\rangle $ in a Minkowski space of arbitrary dimen-
sion. First, we obtain some conditions satised by connection forms of
biconservative hypersurfaces with the mean curvature function whose
gradient is light-like. Then, we use these results to get a classication of
biharmonic hypersurfaces. In particular, we prove that if a hypersurface
is biharmonic, then it must have at least 6 distinct principal curvatures
under the hypothesis of having mean curvature function satisfying the
condition above.
Anahtar Kelimeler
biharmonic submanifolds Lorentzian hypersurfaces biconservative hypersurfaces finite type submanifolds.
Kaynakça
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Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Ağustos 2016 |
| Yayımlandığı Sayı | Yıl 2016 Cilt: 45 Sayı: 4 |