Publication: On biconservative hypersurfaces in 4-dimensional Riemannian space forms
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arXiv
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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
22 Pages
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OPEN
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Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Mathematics - Differential Geometry, biconservative hypersurfaces, null 2-type submanifolds, Differential Geometry (math.DG), Global submanifolds, FOS: Mathematics, Riemannian space forms, Mathematics, biharmonic submanifolds