Translation hypersurfaces of semi-Euclidean spaces with constant scalar curvature
AIMS Mathematics, cilt.8, sa.2, ss.5036-5048, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 8 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.3934/math.2023252
- Dergi Adı: AIMS Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Sayfa Sayıları: ss.5036-5048
- Anahtar Kelimeler: scalar curvature, semi-Euclidean space, translation hypersurfaces
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır
Özet
In this paper, we present translation hypersurfaces of semi-Euclidean spaces with zero scalar curvature. In addition, we prove that translation hypersurfaces with constant scalar curvature must have zero scalar curvature in the semi-Euclidean space Rn+1 q for n ≥ 3.