Rigidity results for compact biconservative hypersurfaces in space forms
Journal of Geometry and Physics, cilt.212, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 212
- Basım Tarihi: 2025
- Doi Numarası: 10.1016/j.geomphys.2025.105460
- Dergi Adı: Journal of Geometry and Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
- Anahtar Kelimeler: Biconservative hypersurfaces, Isoparametric hypersurfaces, Scalar curvature
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper we present alternative proofs for two known rigidity results concerning non-negatively curved compact biconservative hypersurfaces in space forms. Further, we prove some new rigidity results by replacing the hypothesis of non-negative sectional curvature with some estimates of the squared norm of the shape operator.