Rigidity results for compact biconservative hypersurfaces in space forms

In this paper we present alternative proofs for two known rigidity results concerning nonnegatively 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. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.