4 papers
A classification of Biconservative Hypersurfaces in the Minkowski spaces
Aykut Kayhan
In this paper, we study Lorentzian biconservative hypersurfaces for which the gradient of their mean curvature is lightlike, i.e. $\langle \gr H,\gr H\rangle=0$. We establish t…
Compact Biconservative Hypersurfaces in Space Forms: Rigidity Without Scalar Curvature Assumptions
Aykut Kayhan
In this study, we investigate the intrinsic properties of compact biconservative hypersurfaces in space forms. In this framework, we establish rigidity results without imposing the…
Compact spacelike biconservative hypersurfaces in de Sitter space
Aykut Kayhan
In this paper, we investigate the geometry of compact spacelike biconservative hypersurfaces with constant scalar curvature in de Sitter space , under some g…
Rigidity results for compact biconservative hypersurfaces in space forms
Åtefan Andronic, Aykut Kayhan
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 s…