On biconservative hypersurfaces in 4-dimensional Riemannian space forms

Abstract

In this paper, we study biconservative hypersurfaces in ${\mathbb{S}}^n$ and ${\mathbb{H}}^n$. Further, we obtain complete explicit classification of biconservative hypersurfaces in $4$-dimensional Riemannian space form with exactly three distinct principal curvatures.

22 Pages