On biconservative hypersurfaces in 4‐dimensional Riemannian space forms

On biconservative hypersurfaces in 4‐dimensional Riemannian space forms

In this paper, we study biconservative hypersurfaces in Sn and Hn. Further, we obtain complete explicit classifications of biconservative hypersurfaces in 4‐dimensional Riemannian space forms with exactly three distinct principal curvatures.

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Veröffentlicht in:Mathematische Nachrichten 2019-04, Vol.292 (4), p.905-921
Hauptverfasser: Turgay, Nurettin Cenk, Upadhyay, Abhitosh
Format: Artikel
Sprache:eng
Schlagworte:
biconservative hypersurfaces
biharmonic submanifolds
Hyperspaces
null 2‐type submanifolds
Primary: 53D12
53C42
Riemannian space forms
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Zusammenfassung:In this paper, we study biconservative hypersurfaces in Sn and Hn. Further, we obtain complete explicit classifications of biconservative hypersurfaces in 4‐dimensional Riemannian space forms with exactly three distinct principal curvatures.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201700328